Pinch flats are also known as 'snakebite punctures', so-called because of the characteristic parallel cuts in the inner tube, as if it has been bitten by a snake. You'll get them when you you ride into potholes, up over kerbs or over debris lying in the road. They are caused by what you hit, not your tyres.The rim 'bites through the tube when it is squashed flat.
If they really are pinch flats that you are getting, then you need to watch where you are going! I ride with my tyres at only 85-100 PSI and I've had one pinch flat in 5 years (about 12,000 miles of cycling) and that is with me weighing up to 16.5 stone.
Every pinch flat that I ever got was preceded by an impact that I felt and I knew that my tyre(s) would soon be going down.
If you are assuming that they are pinch flats because you can't find any other reason for them (you do check your very tyres carefully for glass/thorns/tacks etc. after every puncture, don't you?) but you don't remember hitting anything then the most likely cause (given that you say that your rim tape is okay) is either a faulty batch of tubes (my mate suffered from a box of faulty Specialized tubes which all eventually split along the seams) or that you are damaging the tubes when mounting the tyres (I had about 6 or 7 unexplained punctures in a week until an experienced cyclist showed me where I was going wrong).
It is absolutely unnecessary to go above 120 PSI.