Martin, to be honest, for such fast process dynamics, you can try intergal of 0.1 minute to 0.5 minute and prop gain in the 1-5 range and you should get good results. We have often used Pitops PID and Pitops TFI for all tuning needs, you can try Pitops also, but the benefits of tuning tools are the highest when dealing with slow loops with complex dynamics. Hope this helps.