Prime p₀= 1137731080978601507 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 40 2 4 2 40 2 10 2 (?)
a_n: 0 2 12 14 54 56 60 62 102 104 114 116
All 12 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 116
Found by: stoneageman
db: batch=76, k=12, 2 10 2 40 2 4

SPT(16)	1137729947733805207	0 34 52 60 64 90 112 124 132 144 166 192 196 204 222 256	-1133244796300
STPT(12)	1137730306985399297	0 2 30 32 42 44 132 134 144 146 174 176	-773993202210
STPT(12)	1137730774114574459	0 2 30 32 72 74 78 80 120 122 150 152	-306864027048
STPT(10)	1137730832245050191	0 2 36 38 78 80 120 122 156 158	-248733551316
SPT(16)	1137731005594447867	0 10 16 82 130 142 192 306 436 550 600 612 660 726 732 742	-75384153640
STPT(10)	1137731045494762217	0 2 30 32 72 74 114 116 144 146	-35483839290
SPT(16)	1137731252920678841	0 6 32 42 60 102 110 122 126 138 146 188 206 216 242 248	171942077334
SPT(16)	1137731269090970753	0 24 50 80 84 96 110 170 174 234 248 260 264 294 320 344	188112369246
SPT(16)	1137731580274256827	0 16 30 72 84 114 166 210 226 270 322 352 364 406 420 436	499295655320
STPT(10)	1137731599525756967	0 2 30 32 42 44 54 56 84 86	518547155460
SPT(16)	1137732789061465783	0 4 28 54 60 90 96 120 124 148 154 184 190 216 240 244	1708082864276