Where did Peter go after the Gentile outpouring in Acts 10?

After the Gentile outpouring in Acts 10, Peter returned to Jerusalem, as stated in Acts 11:1-2: 'And when Peter was come up to Jerusalem.' He did not head out to regions beyond, Syria, Cilicia, Asia Minor, Greece, or Egypt, but went back to Jerusalem, where he would stay for a long time.

Les explains that after this glorious experience among Gentiles, Peter went back to Jerusalem. Les asks why Peter didn't head out to regions beyond, Syria, Cilicia, Asia Minor, Greece, or call the other 11 to go to Egypt. Instead, Peter returned to Jerusalem, and Les says that is where Peter is going to stay forever so long, highlighting the transitional nature of Acts and the shift from Judaic law to God dealing with the race in grace.

Acts 11:2

And when Peter was come up to Jerusalem, they that were of the circumcision contended with him,

Where did Peter go after the Holy Spirit fell on the Gentiles in Acts 10?

Following the Gentile outpouring of the Holy Spirit, Peter returned to Jerusalem. He did not head out to Syria, Cilicia, Asia Minor, Greece, or Egypt, but went back to Jerusalem. According to the account, he stayed there for a long time instead of launching out to the regions beyond.