Bear in mind that many parapsychological experiments have been repeated vastly more than that. My impression is that anyone who wants to argue that this is extremely unlikely to be a statistical fluke is going to have a much harder time viewing parapsychology as the control group for science.
The comparison to parapsychology is a really poor one in this case-- for what should be pretty obvious reasons. For example, we know there is no file drawer effect. What we know about neutrino speed so far comes from a)Supernova measurements which contradict these results but measured much lower energy neutrinos and b)direct measurements that didn't have the sample size or the timing accuracy to reveal the anomaly OPERA discovered.
But more importantly this was a six sigma deviation from theoretical prediction. As far as I know, that is unheard of in parapsychology.
We cannot treat physics the way we treat psychology.
http://www.nature.com/news/2011/110922/full/news.2011.554.html
http://arxiv.org/abs/1109.4897v1
http://usersguidetotheuniverse.com/?p=2169
http://news.ycombinator.com/item?id=3027056
Perhaps the end of the era of the light cone and beginning of the era of the neutrino cone? I'd be curious to see your probability estimates for whether this theory pans out. Or other crackpot hypotheses to explain the results.