> That's not a prime octuplet. If you look around on the web, you'll find
> the definition in several places, including on the wikipedia page linked 
above.
> It would be interesting to see it implemented.

As I said, it depends on the definition. The octetts mention in the 
Wikipedia 
article are also prime octetts that repeat -- like the one I was using. For
all of them the Hardy-Littlewood conjecture applies somehow.

For example, the first pattern in the Wikipedia article repeats as follows:

    [11,13,17,19,23,29,31,37]
    
[15760091,15760093,15760097,15760099,15760103,15760109,15760111,15760117]
    
[25658441,25658443,25658447,25658449,25658453,25658459,25658461,25658467]
    
[93625991,93625993,93625997,93625999,93626003,93626009,93626011,93626017]
    
[182403491,182403493,182403497,182403499,182403503,182403509,182403511,182403517]
    
[226449521,226449523,226449527,226449529,226449533,226449539,226449541,226449547]
    
[661972301,661972303,661972307,661972309,661972313,661972319,661972321,661972327]
    
[910935911,910935913,910935917,910935919,910935923,910935929,910935931,910935937]
    [...]

It repeats less often than the one I'm using. One might speculate, because 
it is less symmetric(?).

Wikipedia articles are sometimes incomplete or not quite correct, even in 
mathematics.

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