Try this: Mount the tires with the label aligned with the valve, so you can keep track of where the punctures are occurring. When you have a flat, disassemble things carefully and note where the hole is: Tread side or rim side of the tire, and its location relative to the valve. If it's on the tread side, check that spot on the tire to be sure you don't have some leftover sharp thing stuck in the rubber (happens all the time; I once had six flats from the same miniscule piece of metal). Patch and ride on; if you have another flat, look to see if it's in the same spot, then check again, because you missed something.
If it's on the rim side, toss the rim strips and buy good ones, like Velox. OEM strips are often crappy, and good ones only cost three or four dollars. It's not worth trying to align the cheapies to cover all the holes.