Where can I search pairs of primes, of certain gap? 
Is there an online database that lets me search prime pairs by the gap among primes? 

I know of the primes.utm.edu's search, and I see twin primes (gap = $2$) can be searched by typing "twin", but how can I search any other valid gap, for example; gap of $12$?
I couldn't find on their site a guide to valid comment commands for searching specific types of primes. "Advanced Search" mentions some commands, but I couldn't figure out of how to set a gap other than obvious "twin" for gap $2$. I tried "sexy" for gap of $6$ and "cousin" for gap of 4, but that does not work; I need to be able to search any valid gap.

Here's an online table of prime gaps:
http://www.trnicely.net/gaps/gaplist.html
