axis turn metric solves

superflip (14a*): U R2 (U D) (F' B') L D2 (F' B) R2 U (F2 B2) (L' R') B (U' D) (F' B)
superflip + 4 dots (14a*): U F2 (L' R) U2 F (U D) (L2 R') (F' B) (L' R) (F' B2) D2 (L2 R2) (F B) (L R)
superfliptwist (14a*): U' (L' R') (U2 D) (F' B') U' (L2 R2) (F' B') D' (L' R') D (F' B') D' (L' R') (F2 B2)

cube in a cube (14a*): U2 R' F' U L' U (L' R) B (U' D) L' B' L U L2
cube in a cube in a cube (14a*): U2 B D B2 R2 D' L' F (L R') D' (F' B2) (U2 D) L (F2 B')
checker (12a*): (U2 D') B R2 U' B' (L' R) (F B') R D B2 R' (U D2)

T perm + flip DF and DB (14a*): U L F2 L U (F2 B') (L R') (U D2) R' (F' B2) U L U' R2
T perm + flip all D edges (13a*): U (F B) R' (U' D') (L' R) D L2 B2 D (F B') (U' D') F' (L R)

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position formed by taking worst cases in EO, EP, and CO+CP:

scramble: F2 L2 F R2 D2 L2 R B' R U' F' U2 B2 F U' L2 U2  (17f*)
solution: U R U2 (L2 R) U (F2 B') (U2 D') F (L R) B' (L R) B R' (F' B')  (14a*)

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Random scrambles:

scramble (18f*): U2 F' D2 F2 U L D2 U F U2 F' R' D B' U2 L2 R' U'
solution (14a*): D (F2 B2) D' B (U' D2) B2 U (L' R2) (F2 B2) (U D) R' F L (U D)

scramble (20f*): B2 L B2 R' F' U' B' L D' F' L U L2 B2 L' D2 B2 D2 R2 B2
solution (14a*): (U D2) R2 (U2 D) B (U D2) L2 B2 R' (F2 B') L2 (U D2) B (L R') (F2 B)

scramble: R2 B D' L2 F2 R' L' U R' D2 B U2 B2 R2 F' U2 L2 U2 D2 B
solution (13a*): (U2 D') (F B) U' R' (U D) (L R') (U' D') (L2 R) F2 L' (U' D2) (F B) U

scramble: U2 B2 L' B2 R' B2 L2 D2 L2 D L R2 D U2 F2 U B' F U'
solution (13a*): (U D') (F' B) U R' B R' (F2 B') (L' R2) (F' B2) (U' D') F' (U2 D2) R