Attached is the simple minded code that I used to calculate 10,000 terms of the prime constellation with 4 primes.

Here is a link to a constellation with 12 primes in OEIS.org

http://oeis.org/A213645
I used more complicated code to calculate these as fast as possible.

As computing power increases and becomes cheaper, we will be able to extend these tables. This interesting mathematical trivia may be useful in the future.

Regards,

Matt