Running Cat6 UTP In Same Wall Cavity

I have done similar with cat5e in the past, but only operating at 100mb/s. The gigabit stuff I have done so far has had the power in a separate stud cavity.My structured wiring project will be installed in one stud cavity in the soon to be new home office. Not exactly using a structured wiring cabinet, but rather using a 7u wall mount relay rack bracket. The cabling will be entering using 2 separate header penetrations. One existing just inside on the right side of the stud cavity carries 110V 12/2 romex to a stud attached box / recepticle. The other side gets the new penetration, a minimum of 12" away. That's the one that the ethernet cable will pass through. The cable runs will run through the wall and through a brush plate, and then to the patch panel.

The Cat6 cable is UTP, and is marked for in wall use. This is the stuff with the spline if that matters.The romex, by code MUST be attached to the stud, and it is, the cat6 on the other hand is allowed to be loose in the wall. I do not plan on having enough slack in the wall for the cat6 to ever get closer than 8" from the romex, and no closer than 10" from the electrical box.Is that separation sufficient to avoid inductive noise on the ethernet cables? Like I said, I have done similar with Cat5e and no problems ever, but only attached to 10/100 networks. I can change stud cavities, but would rather stick with the one so that my ethernet, and power both can enter the rack cleanly.