A question - what on earth are you doing pushing 120psi into tyres on a chilly (and possibly frosty) morning?
No real need to go above 7 atmospheres or even a little lower, ride 23c and have a comfortable but still brisk ride. Here's an example, from a team I know well. In a Tour Series crit one rider came into the pits complaining of sliding and assuming a rear slow puncture. Tyre bone hard, surface a little dusty in places, 9 bar (about 134psi). No wonder it slid! Could not have a lap out (not a breakdown, poor prep!) and thus retired. The DS went mad, having told the team to keep to 7 bar (about 100psi), because of the dust. So I reckon for an ordinary brisk ride 100 is more than anough - in my race days the training group often used 23/25c tubs with 6.5 - 7 bar maximum, only going up a bit if the weather was nice and roads clean, and this was in a warmer place than the UK!
Just remember, keep the round things underneath, and don't pump 'em too hard unless it's track or TT.