Did you wash your hands? The glucose tablet powder is pernicious!
When my pump blew up last year, it was sudden and accidental, *BUTTON ERROR*, rather than a "fade" into pumping less? Are you using 3G tablets or 4G tablets?
For me, 60-70BG usually works out to about 4-5 jelly beans, if there's nothing else (IOB?, FOB?) going on? If you are having 4x 16G tablets, it might be worth it to explore cutting back? Sometimes when my BG runs up mysteriously, I'll try to "plunge" the tissue, whether it's scarred or not, by cranking the basal up to 150-200% to 1) see if it's working and 2) get my BG down.
Ideally, I'll find something to distract myself for a while and then check in an hour and it can be fine? It doesn't work out that way all the time but I haven't pulled very many infusion sets ever.
Sometimes too, my numbers will just "drift" and I'll need more or less insulin? I usually use the Carelink reports to see how things look as a "big picture" and figure something out?
Looking at your profile, it says you have a 515 pump? Is it getting old? That might confirm your theory about the pump not doing something right?