In Flames - The Hive (Cover) - YouTube
In this video, the dude's using 13-65, in C standard as well, on a guitar with a scale length of 25.5''.
I think there are some guys who put gauges like 10/11-70 on standard guitars, and it seemed to work.
Boy, this is confusing
The easiest solution is to try it yourself. A set of strings is dirt-cheap, and if it doesn't work, at least you know.
Going from a standard set of 9 or 10-46 up to a 13-56+ will require a complete set-up after the new strings are installed, and then if they don't work and you have to go back to a lighter gauge, again, another set-up.
If you're using a guitar with a floating bridge, the thicker gauges will pull the hell out of the trem springs, and bring the bridge plate forward a lot. Plus, the neck will bow a bit more (more relief will be added) and you'll need to tweak sweet lady truss rod. If you have a guitar with a fixed bridge or hardtail, the bowing in the neck will be a bit more pronounced, but at least you won't have to level a floating bridge. Either type of bridge will require intonation adjustment after such dramatically new gauges of strings are installed, and you will probably also need to tweak the action, as you may run into fret buzz, especially with the much larger wound strings. If you do not have the knowledge or tools to perform a set-up like this, you'll probably be charged $50-$100 for a full set-up by a pro luthier.
Something else that JUST occurred to me: most nuts are slotted to accommodate a maximum size of string. Some nuts only accept up to a 56. If that's the case with your guitar, your nut will need to be slotted out a bit more (assuming you're using a non-locking synthetic nut of some kind). However, if the larger gauges end up floppy and unstable and you need to go back down to a lighter gauge, I would recommend a new nut. Having any extra play than necessary in a nut slot causes string slippage, and you'll never be able to keep your guitar in-tune. I can run through a basic guitar set-up in my sleep, but when it comes to replacing a nut, I would take my guitar to a trusted luthier. It doesn't take much to destroy a guitar neck when you're pounding out a nut (which is actually 90-95% less perverted than it sounds). A new graphite nut is less than $10, but you'll spend another $50-$100 in luthier fees.
All of this is why baritone guitars were invented. Standard B tuning is even lower than standard C. It won't hurt anything to try a heavier gauge, but, really, baritone guitars are made for C# and lower tunings.