12 Peter, however, got up and ran to the tomb. He stooped down and saw only the linen cloths. Then he went home, wondering about what had happened.
Luke 24:12 Cross References - ISV
John 20:3-10
3 So Peter and the other disciple took off for the tomb.
4 The two of them were running together, but the other disciple ran faster than Peter and came to the tomb first.
5 Bending over to look inside, he noticed the linen cloths lying there, but didn’t go in.
6 At this point Simon Peter arrived, following him, and went straight into the tomb. He observed that the linen cloths were lying there,
7 and that the handkerchief that had been on Jesus’ head was not lying with the linen cloths but was rolled up in a separate place.
8 Then the other disciple, who arrived at the tomb first, went inside, looked, and believed.
9 For they did not yet understand the Scripture that said that Jesus had to rise from the dead.
10 So the disciples went back to their homes.