Your going to need a tune to get over 600. What will help is ditching your intake. Try using a k&n in your stock air box and modify the stock air box to take the hose you clip into your current intake.
Also keep running good gas you can see how everyone recommend it and how it helped.
As for the timing pull there are times that you will see timing pull and you should investigate. Knowing the condition of your car and knowing it’s clean of carbon the plugs and filters are good you should know that now and tuned the car will pull timing more depending on the environment. Right now the air is hot and think expect to see less timing pull then when the air is cold and think. The worst condition is hot and muggy. You will know your RS4 is running to its limits on the stock tune when you see your throttle body shutting during the run.
Saki said it best. If your going to log consistentsy is what you need to make sure of.