Couldn't it be that the lack of interaction with the electro-weak force allows neutrinos to exceed the speed of a photon in a non-vacuum environment? Or is the article saying that the neutrinos exceed c?

edit: More questions, since photons are massless they should be unaffected by gravity except in the sense of following the curvature of spacetime. Could the non-zero mass of the neutrino mean that if you changed the experiment so it fired away from the earth mean that the neutrinos would travel "slower" than photons?