Prime p₀= 1137730774114574459 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 40 2 4 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 78 80 120 122 150 152
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: 152
Found by: stoneageman
db: batch=76, k=12, 2 28 2 40 2 4

STPT(10)	1137729530976003167	0 2 42 44 72 74 102 104 144 146	-1243138571292
STPT(10)	1137729594335330609	0 2 18 20 30 32 42 44 60 62	-1179779243850
SPT(16)	1137729837378403537	0 10 22 30 36 60 90 162 184 256 286 310 316 324 336 346	-936736170922
SPT(16)	1137729867408081307	0 10 40 42 66 76 120 136 150 166 210 220 244 246 276 286	-906706493152
SPT(16)	1137729947733805207	0 34 52 60 64 90 112 124 132 144 166 192 196 204 222 256	-826380769252
STPT(12)	1137730306985399297	0 2 30 32 42 44 132 134 144 146 174 176	-467129175162
STPT(10)	1137730832245050191	0 2 36 38 78 80 120 122 156 158	58130475732
SPT(16)	1137731005594447867	0 10 16 82 130 142 192 306 436 550 600 612 660 726 732 742	231479873408
STPT(10)	1137731045494762217	0 2 30 32 72 74 114 116 144 146	271380187758
STPT(12)	1137731080978601507	0 2 12 14 54 56 60 62 102 104 114 116	306864027048
SPT(16)	1137731252920678841	0 6 32 42 60 102 110 122 126 138 146 188 206 216 242 248	478806104382