Manaen, one of the prophets and teachers at Antioch, had been brought up with whom?

Answer: Herod the tetrarch

The Antioch church's prophets and teachers included Barnabas, Simeon, Lucius, Saul and Manaen, who was brought up with Herod the tetrarch.

“Now in the church at Antioch there were prophets and teachers: Barnabas, Simeon called Niger, Lucius of Cyrene, Manaen (who had been brought up with Herod the tetrarch), and Saul.”— Acts 13:1 (BSB)