Pilate's Conflict with Tiberius Points to When Jesus Died on the Cross
On page 1560 of the Apologetics Study Bible there is an interesting comment regarding Luke 23.12 and when Jesus died.
"And the same day Pilate and Herod were made friends together: for before they were at enmity between themselves."
Part of the note reads,
"Pilate's fortunes with the emperor were further damaged when his patron, the anti-Semite Sejanus, was deposed by Tiberius in A.D. 31. Pilate's actions in including Antipas in the trial of Jesus may have been intended as an olive branch. But this requires a date of A.D. 33 for the crucifixion, not nearly as likely as A.D. 30."