\documentclass{jarticle}
\usepackage[dvipdfmx]{graphicx}
\usepackage{tikz}
\usetikzlibrary{automata}

\begin{document}
\begin{tikzpicture}
[
  scale=1.2,
  every node/.style={transform shape},
  /tikz/initial text={START},
  initial where=above
]
\node[state,initial] (0) at ( 90:4) {申};
\node[state]         (1) at ( 60:4) {酉};
\node[state]         (2) at ( 30:4) {戌};
\node[state]         (3) at (  0:4) {亥};
\node[state]         (4) at (330:4) {子};
\node[state]         (5) at (300:4) {丑};
\node[state]         (6) at (270:4) {寅};
\node[state]         (7) at (240:4) {卯};
\node[state]         (8) at (210:4) {辰};
\node[state]         (9) at (180:4) {巳};
\node[state]        (10) at (150:4) {午};
\node[state]        (11) at (120:4) {未};

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\path[->] (0) edge [thick,pos=0.1,bend right = 5,color=red]  node{$\mathsf{1}$} (1);
\path[->] (0) edge [thick,pos=0.1,bend right = 5,color=orange] node{$\mathsf{2}$} (2);
\path[->] (0) edge [thick,pos=0.1,bend right = 5,color=yellow] node{$\mathsf{3}$} (3);
\path[->] (0) edge [thick,pos=0.1,bend right = 5,color=lime]  node{$\mathsf{4}$} (4);
\path[->] (0) edge [thick,pos=0.1,bend right = 5,color=green] node{$\mathsf{5}$} (5);
\path[->] (0) edge [thick,pos=0.1,bend right = 5,color=cyan] node{$\mathsf{6}$} (6);
\path[->] (0) edge [thick,pos=0.1,bend right = 5,color=blue]  node{$\mathsf{7}$} (7);
\path[->] (0) edge [thick,pos=0.1,bend right = 5,color=magenta] node{$\mathsf{8}$} (8);
\path[->] (0) edge [thick,pos=0.1,bend right = 5,color=purple] node{$\mathsf{9}$} (9);

\path[->] (1) edge [thick,pos=0.1,bend right = 5,color=darkgray] node{$\mathsf{0}$} (10);
\path[->] (1) edge [thick,pos=0.1,bend right = 5,color=red]  node{$\mathsf{1}$} (11);
\path[->] (1) edge [thick,pos=0.1,bend right = 5,color=orange] node{$\mathsf{2}$} (0);
\path[->] (1) edge [thick,color=yellow,out=50,in=70,loop] node{$\mathsf{3}$} (1);
\path[->] (1) edge [thick,pos=0.1,bend right = 5,color=lime]  node{$\mathsf{4}$} (2);
\path[->] (1) edge [thick,pos=0.1,bend right = 5,color=green] node{$\mathsf{5}$} (3);
\path[->] (1) edge [thick,pos=0.1,bend right = 5,color=cyan] node{$\mathsf{6}$} (4);
\path[->] (1) edge [thick,pos=0.1,bend right = 5,color=blue]  node{$\mathsf{7}$} (5);
\path[->] (1) edge [thick,pos=0.1,bend right = 5,color=magenta] node{$\mathsf{8}$} (6);
\path[->] (1) edge [thick,pos=0.1,bend right = 5,color=purple] node{$\mathsf{9}$} (7);

\path[->] (2) edge [thick,pos=0.1,bend right = 5,color=darkgray] node{$\mathsf{0}$} (8);
\path[->] (2) edge [thick,pos=0.1,bend right = 5,color=red]  node{$\mathsf{1}$} (9);
\path[->] (2) edge [thick,pos=0.1,bend right = 5,color=orange] node{$\mathsf{2}$} (10);
\path[->] (2) edge [thick,pos=0.1,bend right = 5,color=yellow] node{$\mathsf{3}$} (11);
\path[->] (2) edge [thick,pos=0.1,bend right = 5,color=lime]  node{$\mathsf{4}$} (0);
\path[->] (2) edge [thick,pos=0.1,bend right = 5,color=green] node{$\mathsf{5}$} (1);
\path[->] (2) edge [thick,color=cyan,out=20,in=40,loop] node{$\mathsf{6}$} (2);
\path[->] (2) edge [thick,pos=0.1,bend right = 5,color=blue]  node{$\mathsf{7}$} (3);
\path[->] (2) edge [thick,pos=0.1,bend right = 5,color=magenta] node{$\mathsf{8}$} (4);
\path[->] (2) edge [thick,pos=0.1,bend right = 5,color=purple] node{$\mathsf{9}$} (5);

\path[->] (3) edge [thick,pos=0.1,bend right = 5,color=darkgray] node{$\mathsf{0}$} (6);
\path[->] (3) edge [thick,pos=0.1,bend right = 5,color=red]  node{$\mathsf{1}$} (7);
\path[->] (3) edge [thick,pos=0.1,bend right = 5,color=orange] node{$\mathsf{2}$} (8);
\path[->] (3) edge [thick,pos=0.1,bend right = 5,color=yellow] node{$\mathsf{3}$} (9);
\path[->] (3) edge [thick,pos=0.1,bend right = 5,color=lime]  node{$\mathsf{4}$} (10);
\path[->] (3) edge [thick,pos=0.1,bend right = 5,color=green] node{$\mathsf{5}$} (11);
\path[->] (3) edge [thick,pos=0.1,bend right = 5,color=cyan] node{$\mathsf{6}$} (0);
\path[->] (3) edge [thick,pos=0.1,bend right = 5,color=blue]  node{$\mathsf{7}$} (1);
\path[->] (3) edge [thick,pos=0.1,bend right = 5,color=magenta] node{$\mathsf{8}$} (2);
\path[->] (3) edge [thick,color=purple,out=-10,in=10,loop] node{$\mathsf{9}$} (3);

\path[->] (4) edge [thick,color=darkgray,loop,out=-40,in=-20,loop] node{$\mathsf{0}$} (4);
\path[->] (4) edge [thick,pos=0.1,bend right = 5,color=red]  node{$\mathsf{1}$} (5);
\path[->] (4) edge [thick,pos=0.1,bend right = 5,color=orange] node{$\mathsf{2}$} (6);
\path[->] (4) edge [thick,pos=0.1,bend right = 5,color=yellow] node{$\mathsf{3}$} (7);
\path[->] (4) edge [thick,pos=0.1,bend right = 5,color=lime]  node{$\mathsf{4}$} (8);
\path[->] (4) edge [thick,pos=0.1,bend right = 5,color=green] node{$\mathsf{5}$} (9);
\path[->] (4) edge [thick,pos=0.1,bend right = 5,color=cyan] node{$\mathsf{6}$} (10);
\path[->] (4) edge [thick,pos=0.1,bend right = 5,color=blue]  node{$\mathsf{7}$} (11);
\path[->] (4) edge [thick,pos=0.1,bend right = 5,color=magenta] node{$\mathsf{8}$} (0);
\path[->] (4) edge [thick,pos=0.1,bend right = 5,color=purple] node{$\mathsf{9}$} (1);

\path[->] (5) edge [thick,pos=0.1,bend right = 5,color=darkgray] node{$\mathsf{0}$} (2);
\path[->] (5) edge [thick,pos=0.1,bend right = 5,color=red]  node{$\mathsf{1}$} (3);
\path[->] (5) edge [thick,pos=0.1,bend right = 5,color=orange] node{$\mathsf{2}$} (4);
\path[->] (5) edge [thick,color=yellow,loop,out=-70,in=-50,loop] node{$\mathsf{3}$} (5);
\path[->] (5) edge [thick,pos=0.1,bend right = 5,color=lime]  node{$\mathsf{4}$} (6);
\path[->] (5) edge [thick,pos=0.1,bend right = 5,color=green] node{$\mathsf{5}$} (7);
\path[->] (5) edge [thick,pos=0.1,bend right = 5,color=cyan] node{$\mathsf{6}$} (8);
\path[->] (5) edge [thick,pos=0.1,bend right = 5,color=blue]  node{$\mathsf{7}$} (9);
\path[->] (5) edge [thick,pos=0.1,bend right = 5,color=magenta] node{$\mathsf{8}$} (10);
\path[->] (5) edge [thick,pos=0.1,bend right = 5,color=purple] node{$\mathsf{9}$} (11);

\path[->] (6) edge [thick,pos=0.1,bend right = 5, color=darkgray] node{$\mathsf{0}$} (0);
\path[->] (6) edge [thick,pos=0.1,bend right = 5, color=red]  node{$\mathsf{1}$} (1);
\path[->] (6) edge [thick,pos=0.1,bend right = 5, color=orange] node{$\mathsf{2}$} (2);
\path[->] (6) edge [thick,pos=0.1,bend right = 5, color=yellow] node{$\mathsf{3}$} (3);
\path[->] (6) edge [thick,pos=0.1,bend right = 5, color=lime]  node{$\mathsf{4}$} (4);
\path[->] (6) edge [thick,pos=0.1,bend right = 5, color=green] node{$\mathsf{5}$} (5);
\path[->] (6) edge [thick,color=cyan,loop,out=-100,in=-80,loop] node{$\mathsf{6}$} (6);
\path[->] (6) edge [thick,pos=0.1,bend right = 5, color=blue]  node{$\mathsf{7}$} (7);
\path[->] (6) edge [thick,pos=0.1,bend right = 5, color=magenta] node{$\mathsf{8}$} (8);
\path[->] (6) edge [thick,pos=0.1,bend right = 5, color=purple] node{$\mathsf{9}$} (9);

\path[->] (7) edge [thick,pos=0.1,bend right = 5, color=darkgray] node{$\mathsf{0}$} (10);
\path[->] (7) edge [thick,pos=0.1,bend right = 5, color=red]  node{$\mathsf{1}$} (11);
\path[->] (7) edge [thick,pos=0.1,bend right = 5, color=orange] node{$\mathsf{2}$} (0);
\path[->] (7) edge [thick,pos=0.1,bend right = 5, color=yellow] node{$\mathsf{3}$} (1);
\path[->] (7) edge [thick,pos=0.1,bend right = 5, color=lime]  node{$\mathsf{4}$} (2);
\path[->] (7) edge [thick,pos=0.1,bend right = 5, color=green] node{$\mathsf{5}$} (3);
\path[->] (7) edge [thick,pos=0.1,bend right = 5, color=cyan] node{$\mathsf{6}$} (4);
\path[->] (7) edge [thick,pos=0.1,bend right = 5, color=blue]  node{$\mathsf{7}$} (5);
\path[->] (7) edge [thick,pos=0.1,bend right = 5, color=magenta] node{$\mathsf{8}$} (6);
\path[->] (7) edge [thick,color=purple,loop,out=-130,in=-110,loop] node{$\mathsf{9}$} (7);

\path[->] (8) edge [thick,color=darkgray,loop,out=-160,in=-140,loop] node{$\mathsf{0}$} (8);
\path[->] (8) edge [thick,pos=0.1,bend right = 5, color=red]  node{$\mathsf{1}$} (9);
\path[->] (8) edge [thick,pos=0.1,bend right = 5, color=orange] node{$\mathsf{2}$} (10);
\path[->] (8) edge [thick,pos=0.1,bend right = 5, color=yellow] node{$\mathsf{3}$} (11);
\path[->] (8) edge [thick,pos=0.1,bend right = 5, color=lime]  node{$\mathsf{4}$} (0);
\path[->] (8) edge [thick,pos=0.1,bend right = 5, color=green] node{$\mathsf{5}$} (1);
\path[->] (8) edge [thick,pos=0.1,bend right = 5, color=cyan] node{$\mathsf{6}$} (2);
\path[->] (8) edge [thick,pos=0.1,bend right = 5, color=blue]  node{$\mathsf{7}$} (3);
\path[->] (8) edge [thick,pos=0.1,bend right = 5, color=magenta] node{$\mathsf{8}$} (4);
\path[->] (8) edge [thick,pos=0.1,bend right = 5, color=purple] node{$\mathsf{9}$} (5);

\path[->] (9) edge [thick,thick,pos=0.1,bend right = 5, color=darkgray] node{$\mathsf{0}$} (6);
\path[->] (9) edge [thick,pos=0.1,bend right = 5, color=red]  node{$\mathsf{1}$} (7);
\path[->] (9) edge [thick,pos=0.1,bend right = 5, color=orange] node{$\mathsf{2}$} (8);
\path[->] (9) edge [color=yellow,loop,out=-190,in=-170,loop] node{$\mathsf{3}$} (9);
\path[->] (9) edge [thick,pos=0.1,bend right = 5, color=lime]  node{$\mathsf{4}$} (10);
\path[->] (9) edge [thick,pos=0.1,bend right = 5, color=green] node{$\mathsf{5}$} (11);
\path[->] (9) edge [thick,pos=0.1,bend right = 5, color=cyan] node{$\mathsf{6}$} (0);
\path[->] (9) edge [thick,pos=0.1,bend right = 5, color=blue]  node{$\mathsf{7}$} (1);
\path[->] (9) edge [thick,pos=0.1,bend right = 5, color=magenta] node{$\mathsf{8}$} (2);
\path[->] (9) edge [thick,pos=0.1,bend right = 5, color=purple] node{$\mathsf{9}$} (3);

\path[->] (10) edge [thick,pos=0.1,bend right = 5, color=darkgray] node{$\mathsf{0}$} (4);
\path[->] (10) edge [thick,pos=0.1,bend right = 5, color=red]  node{$\mathsf{1}$} (5);
\path[->] (10) edge [thick,pos=0.1,bend right = 5, color=orange] node{$\mathsf{2}$} (6);
\path[->] (10) edge [thick,pos=0.1,bend right = 5, color=yellow] node{$\mathsf{3}$} (7);
\path[->] (10) edge [thick,pos=0.1,bend right = 5, color=lime]  node{$\mathsf{4}$} (8);
\path[->] (10) edge [thick,pos=0.1,bend right = 5, color=green] node{$\mathsf{5}$} (9);
\path[->] (10) edge [thick,color=cyan,out=-220,in=-200,loop] node{$\mathsf{6}$} (10);
\path[->] (10) edge [thick,pos=0.1,bend right = 5, color=blue]  node{$\mathsf{7}$} (11);
\path[->] (10) edge [thick,pos=0.1,bend right = 5, color=magenta] node{$\mathsf{8}$} (0);
\path[->] (10) edge [thick,pos=0.1,bend right = 5, color=purple] node{$\mathsf{9}$} (1);

\path[->] (11) edge [thick,pos=0.1,bend right = 5, color=darkgray] node{$\mathsf{0}$} (2);
\path[->] (11) edge [thick,pos=0.1,bend right = 5, color=red]  node{$\mathsf{1}$} (3);
\path[->] (11) edge [thick,pos=0.1,bend right = 5, color=orange] node{$\mathsf{2}$} (4);
\path[->] (11) edge [thick,pos=0.1,bend right = 5, color=yellow] node{$\mathsf{3}$} (5);
\path[->] (11) edge [thick,pos=0.1,bend right = 5, color=lime]  node{$\mathsf{4}$} (6);
\path[->] (11) edge [thick,pos=0.1,bend right = 5, color=green] node{$\mathsf{5}$} (7);
\path[->] (11) edge [thick,pos=0.1,bend right = 5, color=cyan] node{$\mathsf{6}$} (8);
\path[->] (11) edge [thick,pos=0.1,bend right = 5, color=blue]  node{$\mathsf{7}$} (9);
\path[->] (11) edge [thick,pos=0.1,bend right = 5, color=magenta] node{$\mathsf{8}$} (10);
\path[->] (11) edge [thick,color=purple,loop,out=-250,in=-230,loop] node{$\mathsf{9}$} (11);
\end{tikzpicture}
\end{document}