Matthew 14: word and signs from the King

In Matthew 13, we read parables about the kingdom of heaven. In Matthew 14, we read about great signs from the King. If I were with the disciples, it would be clear to me: "the kingdom of heaven has come now, and I am next to the king!".
However, the signs are very different from what one Jew would imagine. He could thought about fire falling from heaven consuming sinners, but in Matthew 14 we read about Jesus feeding a great crowd and after Jesus walking on the sea. Was the disciple Peter a sinner? Certainly so, but he was walking with the master. We read:

28 Peter, suddenly bold, said, “Master, if it’s really you, call me to come to you on the water.”
29-30 He said, “Come ahead.”
Jumping out of the boat, Peter walked on the water to Jesus. But when he looked down at the waves churning beneath his feet, he lost his nerve and started to sink. He cried, “Master, save me!”
31 Jesus didn’t hesitate. He reached down and grabbed his hand. Then he said, “Faint-heart, what got into you?”
32-33 The two of them climbed into the boat, and the wind died down. The disciples in the boat, having watched the whole thing, worshiped Jesus, saying, “This is it! You are God’s Son for sure!”

In the end of Matthew 14, it was clear: Jesus is the son of God.