I'll weigh in with a few comments:
First, about 200 authors on the paper - wow!
Second, the distance between creation and absorption of the neutrinos is measured to an accuracy on the order of about 20 cm, according to the paper. But I have not reviewed in detail how that was obtained, and I'm willing to entertain errrors in that measurement.
Third, if tachyons were possible, one would expect flight-times far greater than c. But this result is only a tiny fraction above c. This lends itself to looking for systematic error as the explanation, rather than new physics.
Fourth, the speed of neutrinos was measured accurately to be within about 1/500,000,000th of the speed of light during the 1987A supernova:
http://en.wikipedia.org/wiki/SN_1987A While this result did not rule out neutrinos being faster than light (because they arrived at the earthbound detector about 3 hours before the supernova explosion), the normal explanation for their early arrival is that they penetrated the exploding core at near-light-speed, while the shock wave took 3 hours to reach the surface and become visible light, subsequently detected. However, the neutrino speed could not have been faster than 1/500,000,000th the speed of light because of the great distance from the supernova to earth. This compares to the 1/50,000th variation [
This is a tiny fractional change - just 20 parts in a million - but one that occurs consistently.:
http://www.bbc.co.uk/news/science-environment-15017484 ] between neutrinos and photons being reported by the CERN group, about 10,000 times greater than the 1987a measurement.
Fifth, similar experiments elsewhere have not yielded this result.
Sixth, if John Ellis is willing to entertain that Einstein's theory needs overhaul, how can he be so certain that dangerous strangelets can't be created by collisions of Lead nuclei at conditions that don't happen in nature, other than in deep space far away from astronomical bodies?