F diminished 7, B diminished 7, D diminished 7, and G# diminished 7 will all have these same four notes.
F diminished ( Fdim )
It's actually an F whole diminished 7th chord. It would be an F diminished chord if there were no 'd' in the cord. Also, the correct way to spell the chord would actually be like this:
F-Ab (not G#)-Cb (not B)-Ebb (not D).
All the pitches are correct, just not their names. Any F triad with any kind of 7th attached will be some alteration of the notes F-A-C-E. This is how people quickly identify chords based on the root.
Hope that helps! just thought that would improve the answer a little bit.