How did these pimple/bubble/bump shapes form on my tube?
The culprit is the rim tape. The glue that holds it in place has lost its grip, and when the tube is inflated, the tape is pushed away and lets the tube to extend into spoke hole. Eventually the edge of the spoke hole cuts the tube with the results that you described.

In my experience, this is what cloth rim tapes do. They can be replaced and there are tricks to gluing that may or may not help, but in my opinion the easiest solution is to buy a pair of plastic rim strips and replace the tape with them.