I'm trying to recall if I ever came across such a piece that uses
whole note = tempo, or
16th note = tempo.
To my recollection, I don't think I've seen the whole note before. As well, I have seen the eighth note being used commonly (perhaps implicitly), but I don't recall ever seeing the 16th note.
Also quick note: when I say implicitly, I mean the marking could be Largo, but has 16th notes for the melody. That would be an example of perhaps
8th note = tempo. Vice versa can also be considered for whole notes.