Dispatch

So far I know there is no limit on how much stations you can attach to 1 dispatch center.

Edit: Outside the limit of the game.

I do not know what your problem is? I only see that you ask about what amount of stations you can attach to 1 dispatch center.

The range settings in the dispatch center is only for hiding missions that are not in that range, so you won't see missions you can not reach (eg shared by alliance members)