From my limited (but unfortunately quickly growing) experience with broken spokes, for us clydes, it's on some level at least, all about spoke count. I'm close to 300 and have a box-store-purchased Schwinn hybrid. Frame and components are all nice enough for me at this point, for sure, but the 24-spoke wheels - not so much. Two incidences of broken spokes in rapid succession after about 200 miles in the saddle convinced me of that. From what I've gathered in researching online and reading other threads here in BF, spokes break most often at the hub or at the nipple (where it screws into the rim), so sounds like yours broke in a to-be-expected spot.
I'm switching to from 24 spoke wheels to 36 spokes, but only after learning the hard way, so +1 on the recommendations to look into tandem wheels or others with more spokes.