Currently in Maintenance
Hiya! You've caught the game while it's in the middle of its nightly maintenance, which we normally call "rollover." Rollover usually begins at roughly 12:10 A.M. Eastern Standard time and runs for just a few minutes. The game ought to be back online shortly.
In the meantime, if you'd like something to do, you might consider visiting the Twilight Forums.
I figure that Ryme isn't actually preforming any rollovers while the game is down. Maybe he'll just extend the cap and provide bonus turns to everybody to make up for the time lost.
I'm not sure there is a cap. If there is, it must be well over 250. I can't remember exactly what the situation on my main was, but I do remember my bedtime being ~3:30 PM. Yes, PM.