There is ample evidence in the New Testament that Peter was first in authority among the apostles. Whenever they were named, Peter headed the list (Matt. 10:1-4, Mark 3:16-19, Luke 6:14-16, Acts 1:13); sometimes the apostles were referred to as "Peter and those who were with him" (Luke 9:32).
Peter’s preeminent position among the apostles was symbolized at the very beginning of his relationship with Christ. At their first meeting, Christ told Simon that his name would thereafter be Peter, which translates as "Rock" (John 1:42). The startling thing was that—aside from the single time that Abraham is called a "rock" (Hebrew: Tsur; Aramaic: Kepha) in Isaiah 51:1-2—in the Old Testament only God was called a rock. The word rock was not used as a proper name in the ancient world. If you were to turn to a companion and say, "From now on your name is Asparagus," people would wonder: Why Asparagus? What is the meaning of it? What does it signify? Indeed, why call Simon the fisherman "Rock"? Christ was not given to meaningless gestures, and neither were the Jews as a whole when it came to names. Giving a new name meant that the status of the person was changed, as when Abram’s name was changed to Abraham (Gen.17:5), Jacob’s to Israel (Gen. 32:28), Eliakim’s to Joakim (2 Kgs. 23:34), or the names of the four Hebrew youths—Daniel, Hananiah, Mishael, and Azariah to Belteshazzar, Shadrach, Meshach, and Abednego (Dan. 1:6-7). But no Jew had ever been called "Rock."
Not only was there significance in Simon being given a new and unusual name, but the place where Jesus solemnly conferred it upon Peter was also important. It happened when "Jesus came into the district of Caesarea Philippi" (Matt. 16:13), a city that Philip the Tetrarch built and named in honor of Caesar Augustus, who had died in A.D. 14. The city lay near cascades in the Jordan River and near a gigantic wall of rock, a wall about 200 feet high and 500 feet long, which is part of the southern foothills of Mount Hermon. The city no longer exists, but its ruins are near the small Arab town of Banias; and at the base of the rock wall may be found what is left of one of the springs that fed the Jordan. It was here that Jesus pointed to Simon and said, "You are Peter" (Matt. 16:18).
The significance of the event must have been clear to the other apostles. As devout Jews they knew at once that the location was meant to emphasize the importance of what was being done. None complained of Simon being singled out for this honor; and in the rest of the New Testament he is called by his new name, while James and John remain just James and John, not Boanerges.
When he first saw Simon, "Jesus looked at him, and said, ‘So you are Simon the son of John? You shall be called Cephas (which means Peter)’" (John 1:42). The word Cephas is merely the transliteration of the Aramaic Kepha into Greek. Later, after Peter and the other disciples had been with Christ for some time, they went to Caesarea Philippi, where Peter made his profession of faith: "You are the Christ, the Son of the living God" (Matt. 16:16). Jesus told him that this truth was specially revealed to him, and then he solemnly reiterated: "And I tell you, you are Peter" (Matt. 16:18). To this was added the promise that the Church would be founded, in some way, on Peter (Matt. 16:18).
Then two important things were told the apostle. "Whatever you bind on earth shall be bound in heaven, and whatever you loose on earth shall be loosed in heaven" (Matt. 16:19). Here Peter was singled out for the authority that provides for the forgiveness of sins and the making of disciplinary rules. Later the apostles as a whole would be given similar power [Matt.18:18], but here Peter received it in a special sense.
Peter alone was promised something else also: "I will give you the keys of the kingdom of heaven" (Matt. 16:19). In ancient times, keys were the hallmark of authority. A walled city might have one great gate; and that gate had one great lock, worked by one great key. To be given the key to the city—an honor that exists even today, though its import is lost—meant to be given free access to and authority over the city. The city to which Peter was given the keys was the heavenly city itself. This symbolism for authority is used elsewhere in the Bible (Is. 22:22, Rev. 1:18).
Here, Paul named himself first and Peter last...And Paul nor anyone else mentions Peter in Rome...And supposedly he was the head of the Roman Catholic church...
1Co_1:12 Now this I say, that every one of you saith, I am of Paul; and I of Apollos; and I of Cephas; and I of Christ.
Gal_2:9 And when James, Cephas, and John, who seemed to be pillars, perceived the grace that was given unto me, they gave to me and Barnabas the right hands of fellowship; that we should go unto the heathen, and they unto the circumcision.
I'd say that blows that boat right out of the water before you even get started...