For that matter, how did they measure the distance? At light-speed, 60 nanoseconds is less than 20 metres. That's 20 metres along a path of 730000 metres through solid rock dipping through Earth's gravitational well and back up again.
I dare say they've thought about all of this (coz it's their job and it only took me ten seconds over breakfast to come up with that) but even forewarned of all the complications, this is a *really* challenging experiment.
Oh, and as others have pointed out, *all* the neutrinos seem to be travelling at the same "only ever so slightly faster than light" velocity. If they aren't limited by c, they sure seem to be limited by something awfully close to it. This is too much of a co-incidence. As the experimenters themselves say, the result is crazy.
The point, which El Reg seems to have picked up on but the mainstream media have missed entirely, is that the scientific interest here is not "Is this true?" because not even the experimenters believe that it is. The point is "Why can't we figure out where we've gone wrong?". This is fun stuff for physics geeks, but not (ultimately) interesting for anyone else.