Wikipedia articles are sometimes incomplete or not quite correct, even in
mathematics.
In your example the difference p8 - p1 is 38. What you have is a
translation of an admissible 8-tuple.
[99452940701, 99452940703, 99452940707, 99452940709,
99452940731, 99452940733, 99452940737, 99452940739]
I'm talking about what the article calls a "prime constellation" or
"prime k-tuplet". This is what libprimesieve and PrimeSieve.jl say
they compute and what they do compute. There are numerous articles
that that give definitions or properties of prime octuplets. All that
I have seen, for all patterns, have the difference p8 - p1 equal to
26.
Here are a few.
http://en.wikipedia.org/wiki/Prime_k-tuple
https://oeis.org/A065706
https://oeis.org/A008407
http://primerecords.dk/constellations.htm -- several links to Tony
Forbes pages, which are hard to link directly
But, I'm sure the terminology is not perfectly uniform. I'll add some
clarifying statement to PrimeSieve.jl
--John
