You're going to want to patch both sides. Cut your tape so it overlaps atleast 1 inch all the way around the hole. Round off the corners of the tape to help keep it from lifting. Clean both sides very well and maybe even use a little rubbing alcohol to make sure there is no oil from your hands. Apply the tape and smooth it out. Apply tape to other side and press the 2 pieces together working towards a good seal.
That should last you quite a while. The big keys are the prepping of the surfaces and the rounding of the tape corners.