Here's a chord I use for fingerpicking. I've never heard any other guitarist use it because I made it up myself (I know, dangerous thing to do). It doesn't sound the best, but it has its uses.

e-2 (index)
b-0
g-4 (ring)
d-4 (flipper)
a-6 (pinky)
e-4 (thumb)

I've been wondering, what is it called?

Lets see.. it's [Ab, Eb, F#, B], B, F#.
Abm7 is [Ab, Eb, F#, B], Eb, Ab,
B is F#, B, F#, B, Eb, F#,

So..B/Ab(m7)? I dunno if it would just be written B/Ab because the C in Ab major doesn't fit. Or is it just an alternate voicing of Abm7? Any other ideas?