Remember the Gospels were written AFTER Paul's letters.

New Testament article on Encyclopedia Britannica: "The books are not arranged chronologically in the New Testament. The Epistles of Paul, for example, which address the immediate problems of local churches shortly after Christ's death, are considered to be the earliest texts."

Paul's letters indicate that both Peter and himself only knew Jesus from VISIONS, with the resurrection stuff coming from a "pesher" reading of the Septuagint such as Isaiah 52-53, Daniel 9, Zechariah 3 and 6 etc.