John Calvin Commentary Luke 24:12

"But Peter arose, and ran unto the tomb; and stooping and looking in, he seeth the linen cloths by themselves; and he departed to his home, wondering at that which was come to pass." — Luke 24:12 (ASV)

And Peter arose, and ran to the tomb. I have no doubt that Luke here inverts the order of the narrative, as may be readily inferred from the words of John (John 20:3), and, in my opinion, the word ran (ἔδραμεν) might justly be rendered as a pluperfect tense, had run.

All who possess a sufficient acquaintance with Scripture are aware that it is customary for Hebrew writers to relate afterwards those occurrences which had been omitted in their proper place. Luke mentions this circumstance for the purpose of showing more strongly the obstinacy of the apostles in despising the words of the women, when Peter had already seen the empty tomb and had been compelled to wonder at an evident proof of the resurrection.