Quote:
Originally Posted by robert44444uk
Wow, only 210 separate these two  pattern 2, (4 twins in 33)
200595358412147 200595358411937
I wonder if this is the closest two can get?
<snip>

I did some "mixandmatch" of the three patterns of four twins:
Quote:
Originally Posted by mart_r
4 Twins:
p+{0,2,12,14,24,26,30,32}
p+{0,2,12,14,18,20,30,32}
p+{0,2,6,8,18,20,30,32}

I took separations of 33 or greater to make sure there was no overlap.
Calling these patterns one, two, and three, I found that
p + one and p + 192 + two
together form an admissible 16tuple; that is, if the prime ktuples conjecture is true (and if my routine was writ right), there are infinitely many p for which all the following are prime.
p+{0,2,12,14,24,26,30,32} and p+{192, 194, 204, 206, 210, 212, 222, 224}
EDIT: My routine only looked at mixing and matching
different patterns, and quit after its first "hit." I revised it to include "same same" pairs and to list all "hits." The line "1 2 192" is the previously mentioned result.
1 1 180
1 1 210
1 2 192
1 3 204
2 1 198
2 2 210
2 3 192
3 1 186
3 2 198
3 3 180
3 3 210