John Chrysostom

See how all are corrupted; Pilate persuaded; the people stirred up; the soldiers bribed; as it follows, And they look the money, and did as they were instructed. If money prevailed with a disciple so far as to make him become the betrayer of his Master, what wonder that the soldiers are overcome by it.

Catena Aurea by Aquinas ↗

Jerome

And when they were gathered with the elders, after taking counsel, they gave a large sum of money to the soldiers, saying: Tell them that his disciples came by night and stole him away while we were asleep. And if this comes to the governor's ears, we will satisfy him and keep you out of trouble. So they took the money and did as they were instructed. And the story spread among the Jews to this day. …

Commentary on Matthew ↗

Thomas Aquinas

But they, having received the money, did as they were taught. It is not surprising if the soldiers were corrupted by money, because even one of his disciples had been corrupted. Ecclus. 10:9: nothing is more wicked than the covetous man. And this was spread abroad. And not only until this was written, but even until now.

Commentary on Matthew ↗

Rabanus Maurus

But as the guilt of His blood, which they imprecated upon themselves and their children, presses them down with a heavy weight of sin, so the purchase of the lie, by which they deny the truth of the Resurrection, charges this guilt upon them for ever; as it follows, And this saying is commonly reported among the Jews until this day.

Catena Aurea by Aquinas ↗