I've never even heard of more than 4-5 Monitors being run on
One PC, But I Would guess that you could probably Get 2-3 ( Obviously, There going to need an SLI Configuration/CrossfireX || I would probably base each PC around Graphics performance, So UNLESS your not on a budget, skimp on everything but the Graphics card/Mobo/CPU ) PC's. I don't even know If I'm approaching your question in the right manner, mainly because there would be a lot of "Technicalities" on making a setup like you pictured.
ALL IN ALL: I think it would take multiple PC's to run that kind of setup and it would be OUTRAGEOUSLY expensive ( well, at least for me, because i'm 16 and money doesn't come easily! XD ) But hey, if your willing, and have the money to do it, By all means, DO IT!
I could try and help you if you had any questions