I am very careful NOT to use tire levers to mount the tire. 20+ years ago, and hundreds of flats, I learned to never use a tire lever - AFTER blowing out a couple tubes with tire lever pinches.
After I mount the tire I inflate the tube to 40 pounds and bounce the wheel around it's perimeter and verify I have not pinched the tube between the tire and the bead. I then let out about 20 pounds air and visually ensure I have not pinched the tube.
I then inflate the tire to 105 psi and again verify I have a good bead all the way around.
The holes I can find all seem to be in the same GENERAL area of the wheel. I have inspected and reinspected that area of the rim and liner but it all seems smooth and clean. I can not see or feel any nicks, scratches, burrs or anything else that might puncture the tube. I suspect there is something on the wheel causing the problem but I can not figure out what it might be.
I had ridden over 3000 miles on the Aksium wheels with Continental UltraSport tires with only a couple flats. Then this problem started, I had five flats with the UltraSports and switched over to the heavier GatorSkins which seemed to make the problem worse.
Prior to this spell of flats - I had not had a rear tire flat in 1000 miles.
HELP - I'm desperate. I've been riding fairly seriously for 40+ years and have never gone thru a spell of flats like this.