It was the first time they have scored more than two goals under Tuchel.
The manager said, "It was clearly the performance where we created the most chances, the most touches in the opposition box, and scored the most, but you cannot compare it to Champions League matches or a game at Liverpool. But I'm happy with what we played today.
"I feel it is very difficult to score in the Premier League in any match. We did a great job offensively as a team. But it is a complex game, you cannot divide matches into offense and defence.
"While we were attacking we were closing the spaces. We did not allow Crystal Palace to escape the pressure, we had high ball recoveries, we were very brave in pushing up the pitch while we were attacking.
"The message we give is clear. We defend together and attack together. Nothing changes in that message. We are very happy we could create a lot but against Porto we start from scratch."