web3.eth.estimateGas({data: '0x' + bytecode}).then(value=>{
 console.log('gasEstimate = ' + value);
 let MyContract = new web3.eth.Contract(abi,{
          from: publicKey,//user wallet
          gasPrice: '10000000000000',
          gas: value
         });
 console.log('deploying contract...');
 MyContract.deploy().send(function(error, transactionHash){
  }).on('error', function(error){ })
    .on('transactionHash', function(transactionHash){ })
    .on('receipt', function(receipt){
     console.log(receipt.contractAddress) // contains the new contract address   })
    .on('confirmation', function(confirmationNumber, receipt){  })
    .then(function(newContractInstance){
    console.log(newContractInstance.options.address) // instance with the new contract address
   });
});

UnhandledPromiseRejectionWarning: Error: Request failed with status code 522
at createError (/home/project/node_modules/axios/lib/core/createError.js:16:15)
at settle (/home/project/node_modules/axios/lib/core/settle.js:18:12)
at IncomingMessage.handleStreamEnd (/home/project/node_modules/axios/lib/adapters/http.js:201:11)
at emitNone (events.js:111:20)
at IncomingMessage.emit (events.js:208:7)
at endReadableNT (_stream_readable.js:1064:12)
at _combinedTickCallback (internal/process/next_tick.js:138:11)
at process._tickCallback (internal/process/next_tick.js:180:9)
(node:13887) UnhandledPromiseRejectionWarning: Unhandled promise rejection. This error originated either by throwing inside of an async function without a catch block, or by rejecting a promise which was not handled with .catch(). (rejection id: 2)
(node:13887) [DEP0018] DeprecationWarning: Unhandled promise rejections are deprecated. In the future, promise rejections that are not handled will terminate the Node.js process with a non-zero exit code.

myContract.deploy({
    data: '0x12345...',
    arguments: [123, 'My String']
})
.send({
    from: '0x1234567890123456789012345678901234567891',
    gas: 1500000,
    gasPrice: '30000000000000'
}, function(error, transactionHash){ ... })
.on('error', function(error){ ... })
.on('transactionHash', function(transactionHash){ ... })
.on('receipt', function(receipt){
   console.log(receipt.contractAddress) // contains the new contract address
})
.on('confirmation', function(confirmationNumber, receipt){ ... })
.then(function(newContractInstance){
    console.log(newContractInstance.options.address) // instance with the new contract address
});