Think of it this way. The events mentioned in the gospels are quite amazing. Yet no writer living at that time wrote about these happenings?
We have the story of the dead rising out of their graves...surely, it would have causes great chaos and fear-but no one one mentions it at all?
Philo, wrote many books on the Jews and their history 30-40. He visited Jersuelem. He lived at the exact time of Jesus. His family was there.
Yet he never wrote a single story about Jesus or any of the amazing stories. Nothing.
Justus of Tiberias before the end of the first century wrote a history of the Jewish Kings in Galilee. Yet he never mentions Jesus or any of the events.
Both were contemporaries, yet neither wrote about Jesus. Both should have.
There are a few more but I cannot think of them right now.