We study a lattice system of biaxial particles interacting with a second rank anisotropic potential by means of Monte Carlo simulations over a wide distributed network. We use the Condor processing system installed on the Italian Nuclear Physics Institute computer network. We have done calculations for a large number of different values of molecular biaxiality and we have determined a phase diagram for the system that we compare with previous simulations. The results of this work seems to be very promising and will allow us to use the Condor system for our large scale simulation studies.