X, of course you can run it with a cutting cycle.
At 200lbs, you should be consuming 100-150 grams of the UNSATURATED fats that were pointed out in the earlier posts.
Don't forget to stay HIGHLY active.
If you're at 14-16% You can get down to 7%, I wouldn't run this diet for 16 weeks although you can. Instead I would run it for 8 weeks, then run a Bulking diet for 4-8 weeks to re-prime your body.
If you run your bulking program according to the modified diet with INCREASED calories (but still following the same principles), you should not gain that much fat at all, and the overwhelming majority of your gains will be LEAN FAT FREE mass.
Once you run the bulking for 4-8weeks (whatever you feel is necessary), then hit up the Cutting for another 6-8 weeks, to bring out the razor sharp definition.
Peace.