11th

No tonic in this one but if you need a B major this far up then why not give it a shot.

It's an 11th position chord because of the position of the first finger but it's based around the A on the 14th fret.

Just in case you're up this way lookinjg for a Bm6

All of the chords this far up the neck will work better on some guitars than others. This is a good voicing though.

A bit of a squeeze this far up the neck but some guitars will manage it just fine. 

This far up the neck you're only option for a B major, take it down to the 10th if you need a Bb.

BAsed on the D major from the open position this one has no 3 so it's quality is ambiguous but if you're this far up the neck and need a B chord it's about your only option. It can be usaed for a major or a minor.