smith68:
Please help me with advice to know is performance of my car normal.
When I sit for the first time I noticed I have to push gas pedal little more to awake the engine and to start moving.
Gas pedal is slow and feels heavy.
First, congratulations. 
Throttle response gets (much) better with Sport or Sport Plus active. Have you tried that?
I can not feel 700NM and push in the back at lower and mid revs, and it is missing a bite until in very high revs.
I feel very good power when I floor gas pedal.
This is due to the 10 second Overboost, after which the car produces less torque. If you want to feel that again, you need to floor the gas pedal again.
I have 1200 km until now, and I was not pushing over 5000 revs until 1000 km.
No problem.
Sometime I feel PDK slip and small vibration when I just start to go.
PDK slip? Hmmm, are you sure it is PDK slip and not the PSM (ESP) jumping in?
Porsche diagnostics said only several low voltage problems -maybe battery was low as car was long time not driven.
After a couple of days of driving, this shouldn't be an issue anymore.
I will visit them again after they cleared it and I driven the car, if it is repeating.
I was very happy with old S4 (I removed Cat, and put KW variable suspension,spacers-thats all)
Audi was fast on gas pedal,had explosive power and much more midrange feeling.
Maybe I have to break in the car, or there is some problem as it was not active for long time?
The Turbo S is a rocket. If it doesn't feel that way, there is something wrong. Have you looked at your boost pressure? Also keep in mind that the engine is HIGHLY fuel sensitive. Fuel quality is extremely important.
Are there some unreadible problems like Mass air flow or anything else which diagnistics does not see?
Not likely. What happens pretty often is that the air duct to the turbo chargers/intercoolers slips off and boost pressure is lost.
I do not feel excited when I drive the car.
This is weird.
Other things are suspension-litlle nervous as front end is light, and the sound which is not inspiring.
Tire pressure is essential (use the recommended one!!!), also maybe your car needs a proper chassis alignment (sometimes the cars came out of the factory with wrong alignment).
The sound is not inspiring, you're right and if you go for a sport exhaust system, go with Cargraphic or Akrapovic only.
I wanted to see if this is normal, and the to start with Cat by pass pipes,exaust (maybe Akrapovich ) and some good street suspension with lift option (KW, Bilstein,...)
I wouldn't touch the chassis but it is your money. A good alignment does wonders, RUF in Bavaria/Germany is very good with chassis alignments for the 911 Turbo (they are the closest to your location), so if you want a good setup...
Good luck!
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RC (Germany) - Rennteam Editor Porsche Panamera Turbo S, Cayenne GTS (958), 991 Turbo S (Oct. 5th), BMW X3 35d (2013)