I have a 128GB iPhone 6. But I don't have stability issues with any other apps, only Podcasts seems to do it. I also don't remember it being a problem around 8.0 or maybe 8.1. It didn't start until later.
Note I'm not joking its a giant screen of blue then boom restart. I assume that is a kernel panic of sorts. But this one wifi network has "enterprise" level wpa. Just annoying to no end.
Apparently, it's specific to a T-Mobile update and using calling over Wi-Fi.
[0] http://americasmarkets.usatoday.com/2015/06/25/iphones-hit-w...
I can't help but think some background process is crashing and so the iPhone is pausing the music as a result.