This happened around the time of the Council of Nicaea, which was when he cemented his control. Before that, Jesus' teachings were put forth by his descendants as the Church of the Desposyni, that is "of the family".
Constantine saw an opportunity to create a power structure that would out live the Roman Empire, and take in huge amounts of money in the process.
In the process of rebranding the teachings of Jesus as the Roman Catholic Church, several gospels were destroyed...the Gospel of Mary, the Gospel of Thomas, and the Gospel of Judas.
Please note, Jesus had a brother named Judas. He was the apostle, not Judas Iscariot.
Constantine did the switch on those two.
As part of the marginalizing of the former gospels, Mary, Jesus' wife, became a prostitute, Thomas became a doubter, and Judas became a betrayer.
I've spent decades searching for spiritual truth, and I can tell you it's out there.
You can find it for yourselves though, I'm not going to point you to any specifics.
If you're really interested, you'll do the work.
Oh! Peter was not called the rock because he was the foundation of Jesus' church. He was a bit slow witted, thus the rock...sort of like calling someone "thick as a brick".
Also, Paul was not at all important in the Church of the Desposyni. Like Peter, he was elevated to a central position by Constantine who liked Paul's angry attitude.