Sorry for not making a single post after completing computations.

I have stopped now.

I wrote:

> The first (CP-10) has gaps 16 and 14 (sum 5#):

> 5373097559,5373097573,5373097589,5373097603,5373097619,

> 5373097633,5373097649,5373097663,5373097679,5373097693

The second (CP-10) is 16 times larger with gaps 28 and 2:

87873432313 + 0,28,30,58,60,88,90,118,120,148

A probably non-minimal (CP-11) with gaps 16 and 14:

196723765163557 + 0,16,30,46,60,76,90,106,120,136,150

And a probably non-minimal (CP-12) with gaps 14 and 16:

438536033046239 + 0,14,30,44,60,74,90,104,120,134,150,164

A (CP-13) must contain an AP6 inside an AP7. The common difference in an AP7

not starting at 7 is always a multiple of 7# = 210.

Inside the AP7 there has to be at least (210-2)*6 = 1248 simultaneous

composites.

That makes a (CP-13) computionally infeasible.

If the numbers are small then 1248 composites is too hard.

If the numbers are large then 13 primes is too hard.

--

Jens Kruse Andersen