There are many vasculitic diseases that can cause neuropathy as a secondary complication, either through compressive swelling on nerves caused by inflammation, or through ischemic breakdown of blood vessels that support tissue, including nerve, so that nerves no longer get sufficient nutrition, oxygen, or metabolic waste removal.
Nerves affected can be varied, from the small unmyelinated fibers to the largest ones (the latter often happens as a mononeuropathy or mononeuropathy multiplex).
Many of the ANA-related autoimmunities have vasculitic components, so neuropathy can happen in lupus, Sjogren's, Churg-Strauss, Polyarteritis Nodosa, Bechet's disease . . .there's even an entity known as peripheral-nerve specific vasculitis.
The Washington University Neuromuscular site has a good listing of these:
http://www.neuro.wustl.edu/neuromusc...tml#vasculitis