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You should check what the manufacturer suggests. I don't think pvc would meet code requirements. Check with your municipality, mechanical inspector.

You can run the duct 12 feet, but you should use proper dryer duct work, not PVC. In our laundry at work, the duct for the vent is well over 12 feet long, but it is metal duct work. You will also have to clean it periodically as there will not be sufficient force to blow all the dryer lint out the end of the vent, and it will build up inside the duct. Lint makes for a great fire starter, so clean it at least once a year.

Josh.. i've got been given some questions i'd desire to ask what floor is the closet on? do you have attic area above? if so is attic vented? unfinished basement decrease than? and how some distance to the exterior wall? gasoline or electric dryer? basically asking with the aid of fact dealing with the roof is remarkable