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In a single player game, I've pushed upwards of 500-600 turns. I got tired of the game once the AI stopped posing as a punching bag and died. In that game I was building a massive highway system to speed up transport movements and converting planets.

In a multiplayer game, I think it ended at about turn 25 when I bypassed all my foe's systems and glassed the homeworlds. His tactics were flawed, he only built on smaller worlds for resupply and such, very little production outside his core worlds and he colonized a few planets. His ally then quit the game after a series of small battles.