Prime p₀= 1188416779382225621 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 16 2 40 2 34 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 96 98 138 140 156 158
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: 158
Found by: HenkM
db: batch=77, k=12, 2 16 2 40 2 34

SPT(16)	1188415601305677671	0 12 26 56 72 98 182 192 236 246 330 356 372 402 416 428	-1178076547950
TPT(14)	1188415637889648317	0 2 90 92 132 134 162 164 240 242 282 284 342 344	-1141492577304
SPT(16)	1188415822995569237	0 60 84 104 146 174 240 264 326 350 416 444 486 506 530 590	-956386656384
STPT(10)	1188415829989867481	0 2 30 32 60 62 90 92 120 122	-949392358140
TPT(16)	1188416053540930391	0 2 48 50 168 170 210 212 270 272 288 290 300 302 336 338	-725841295230
STPT(10)	1188416117333047151	0 2 6 8 48 50 90 92 96 98	-662049178470
STPT(10)	1188416929937866199	0 2 18 20 30 32 42 44 60 62	150555640578
SPT(16)	1188416953379965643	0 14 66 110 116 120 140 144 200 204 224 228 234 278 330 344	173997740022
SPT(16)	1188417056365746707	0 24 54 92 104 180 210 296 300 386 416 492 504 542 572 596	276983521086
SPT(16)	1188417185608278103	0 24 46 58 60 66 78 100 114 136 148 154 156 168 190 214	406226052482
SPT(16)	1188417482762967371	0 80 132 182 186 188 270 278 300 308 390 392 396 446 498 578	703380741750