In my project I get a minidump 9/10 games within a few seconds after loading or starting a game. It's entirely random, unpredictable, and I've tried to isolate its cause countless times. I simply credit it to hardcode interactions. if it doesn't crash, the game is perfectly stable for the remaining however long I leave it running.
While possibly unrelated to your crash, it's worth considering. Major crash causes in my experience are roletype/statcounttype changes that remove unique types from the ship pool and thus cause the AI to rip out its own intestines with a table. Alternatively, maybe the crash is research and AI interaction related.
In my experience, save games tend to break after significant entity changes or become more likely to crash.