What, then, is signified by John, if not the synagogue? What by Peter, if not the Church? It should not seem strange that, according to the account, the younger signifies the synagogue and the elder the Church. For with respect to worship of God, the synagogue came before the Church of the Gentiles. Yet in time the multitude of the Gentiles came before the synagogue, as Paul testifies when he says: "The spiritual is not first, but the natural, and afterward the spiritual" (1 Cor 15:46).
Thus by the elder, Peter, the Church of the Gentiles is signified. By the younger, John, the Jewish synagogue is signified. They both ran together, because from its beginning until its fall, paganism ran with the synagogue on an equal and common path, though not with equal and common understanding.
The synagogue came first to the tomb, but did not enter. Although it received the commandments of the Law and heard the prophecies concerning the Incarnation and Passion of the Lord, it did not wish to believe in Him who had died. John sees the linen cloths lying there, yet does not enter. Likewise the synagogue, though it recognized the mysteries of Holy Scripture, did not consent by faith to enter into faith in the Lord's Passion.
Him of whom it had long prophesied it saw before its eyes and rejected. It despised Him because He was man, and would not believe that He was God, made mortal according to the flesh. What is this, then, if not that it ran more quickly, yet stood idle at the tomb?