You are Cephas and on this Cephas, I will build my church. Are you claiming that Jesus pointed to himself and called himself Cephas?
But it is such a stretch from old and new testaments teachings in context that I had to reject it for Biblical (not Bible only) Christianity years ago.
You have excluded 'Bible only' .. so you accept Tradition?
There are different rocks, parts of rocks, pebbles, small rocks and big rocks.
Jesus/God is referred to as a/the Rock many times and it is EXCLUSIVE to Him as the main Rock of scripture.
Jesus has a way with words but sometimes they can be misuderstood.
There are numerous scriptures showing that God is THE ROCK, and it is God who is the Rock upon which Jesus built His church.
Isaiah 44:8 "Do not tremble, do not be afraid. Did I not proclaim this and foretell it long ago? You are my witnesses. Is there any God besides me? No, there is no other Rock; I know not one."There are many more.
Deuteronomy 32:4-- He is the Rock, his works are perfect, and all his ways are just. A faithful God who does no wrong, upright and just is he.
Deuteronomy 32:15 Jeshurun grew fat and kicked; filled with food, he became heavy and sleek. He abandoned the God who made him and rejected the Rock his Savior.
Jesus was talking to Peter (who btw was already named that) and mentioned that, but the Rock on which He built his Church was The Rock, God. Jesus.
As far as Peter being a "Pope," there were no popes back then, so Peter was not seen as the "Pope."