No, now you’re making stuff up. Jesus never said Peter was a piece of rock. As a matter fact, Christ renamed Simon as Peter, His rock.
I'M making stuff up??? Jesus IS the rock (petra) - plenty of Scriptural proof for that - and Peter is a little rock or a piece of the rock (petros). Peter, as did the rest of the Apostles were commissioned/sent by Jesus to win souls to Christ, disciple other leaders and help build up local assemblies throughout the known world, and they did. I hope you realize that if you really believe it is Peter on whom the church of Christ is built, then there would no longer be a foundation once Peter was martyred. You cannot claim that Peter somehow passed down his "rockness" to others because Jesus did not give him that power. Only Jesus is the true rock of our faith. I worship him, not Peter.