Prime p₀= 1081125312688304249 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 76 2 40 2 46 2 40 2 76 2 (?)
a_n: 0 2 78 80 120 122 168 170 210 212 288 290
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: 290
Found by: stoneageman
db: batch=76, k=12, 2 76 2 40 2 46

SPT(16)	1081124163129735419	0 48 80 162 182 192 290 308 324 342 440 450 470 552 584 632	-1149558568830
SPT(16)	1081124332339520431	0 28 120 186 196 198 250 268 270 288 340 342 352 418 510 538	-980348783818
SPT(16)	1081124384097470749	0 22 58 70 82 102 142 144 148 150 190 210 222 234 270 292	-928590833500
STPT(10)	1081124952226388891	0 2 6 8 48 50 90 92 96 98	-360461915358
SPT(16)	1081125198858581707	0 70 90 102 130 136 160 204 262 306 330 336 364 376 396 466	-113829722542
STPT(10)	1081125274189121891	0 2 36 38 78 80 120 122 156 158	-38499182358
STPT(10)	1081125441156375551	0 2 96 98 138 140 180 182 276 278	128468071302
STPT(12)	1081125665295209867	0 2 54 56 60 62 84 86 90 92 144 146	352606905618
SPT(16)	1081125706332341303	0 6 14 30 74 86 126 138 176 188 228 240 284 300 308 314	393644037054
STPT(10)	1081125755676123299	0 2 18 20 30 32 42 44 60 62	442987819050
SPT(16)	1081125914792223721	0 18 100 102 148 172 196 238 240 282 306 330 376 378 460 478	602103919472