I know the di motors are different, but my car had a similar issue and I cleaned the MAF and did a plug change (at 98,000 miles, not klics) and my issue went away.
Just for shits I dump a bottle of techron in my car every oil change.
I wonder if that shitty ethenol treated gas effs up our cars- I think most filling stations sell 90/10 gas/ethenol.
330i ~ BMW Perf. Susp. ~ M3 Front susp ~ BMW Perf Exhaust ~ 3.38 lsd ~ SF71 Alf CSL reps ~ Pilot Super Sports ~ AA Tune ~ 335is front brakes WTB: e93 M3 Front Sway Bar