24" is two feet. It's MUCH less than that. I have one, as do most commercial gyms I've been to. Mine isn't handy right now, but I'd estimate it's about 6" between the handles. You could probably get one in a good sporting goods or fitness equipment store. Usually they're called D-handle, double-D handle, Chinning Triangle or V-bar handle (although sometime V-bar is used to refer to the inverted-V-shaped bar normally used for Triceps Pressdowns)
Here is one in Canada with 6.5" width:
However it's pretty cheap so I'm not sure if the steel is very strong.
Another one (also in Canada) but made by York: