If it's like a hesitant splutter then I'm aiming that you have an igntion issue. What plugs are in? When were they changed. Same with the HT leads and coil/coilpacks (age dependant).
I say as I've just had my Scoob remapped and had similar issues after the map driving home. Your first instinct is to assume it's the mappers fault - incorrect most the time. With my car it had gained 65bhp and 100lbft on the map, so a dormant issue which wasn't noticeable on standard boost (within either the HT leads or coil) suddenly became the biggest ball ache going. I'd put my foot down in different circumstances and come full boost around 1.5-1.6bar I'd get a double/triple misfire. Putting a working coil/leads from a similar car in similar state of tune seemed to solve the issue.
To recap. Try the ignition system first with known working s/h parts just to elliminate them. Then look at sensors etc.
But you will get a dozen different opinions on here, it's how forums work.
Best of luck chap.