I currently have 24 singles and I'm using CGMiner 2.4.1 win.
Well, nobody supports ancient versions of CGMiner. First thing to do is upgrade to BFGMiner 2.4.4 - or at least CGMiner 2.4.4 (but note future versions will likely have serious regressions in BFL support). Inevitably though, it sounds like there's a problem with your modem: software shouldn't be
able to crash it no matter what they do.