I'm thinking that once you get up past that number of inputs there is no good way to do it analytically. You'll probably have to fall back on heuristic methods.
Have you tried Espresso? From my experience it works very well, take a look: http://en.wikipedia.org/wiki/Espresso_heuristic_logic_minimizer
Though you may be able to do some Boolean Algebra on the expression, it's most likely going to be difficult to figure whether it's in simplest form or not with that many variables.