Is there any record in Scripture that the twelve apostles had a ministry among the Gentiles?
No. Scripture records that the twelve were commanded to go only to the lost sheep of the house of Israel, and they were apostles of Israel. While Peter may have visited Antioch, the context states there is no word of record that these twelve men ever had a ministry among Gentiles.
Les explains that Jesus chose the twelve and commanded them not to go to a Gentile but only to the lost sheep of the house of Israel, making them apostles of Israel. He stresses that, going by Scripture rather than legends, one cannot show a record that these twelve men ever had a ministry among Gentiles. He allows that they may have visited, noting Peter went up to Antioch, but an actual ministry among Gentiles is not a word of record in this Book. Paul's gospel for the Gentile came from the same God and with the same kind of authority as the gospel of the circumcision committed to Peter.