I dont see any anode-resistors. How are you limiting cathode current ? 

Also, the diodes will trap the charge at the anodes; I cant do the math 
right now (t=CdV/I), but the charge will bleed-off during the 'dead' time 
when no anodes are driven to VOUTHV. I'm assuming here that +105V is not 
enough to maintain illumination. If you also turn off the cathodes at the 
same time you turn off the anodes (or before), the charge has no place to 
go. So make sure you turn off the anode first, wait several usec, then turn 
off the cathodes. Given the capacitance is a few pF, and current is roughly 
1mA, I think there's more than enough time. But I see a lot of postings on 
this group about ghosting problems with multiplexed displays. Timing is 
critical.

On my designs, I try to provide a DC path to circuit ground for safety and 
ESD reasons. Surface mount resistors are small and cheap.

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