Prime p₀= 1512459519680294879 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 28 2 4 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 78 80 108 110 150 152
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: crashtech
db: batch=78, k=12, 2 40 2 28 2 4

SPT(16)	1512458137384567547	0 14 32 42 44 74 80 84 140 144 150 180 182 192 210 224	-1382295727332
SPT(16)	1512458421482664637	0 22 60 66 94 102 172 270 286 384 454 462 490 496 534 556	-1098197630242
TPT(14)	1512458613450336509	0 2 60 62 72 74 150 152 168 170 180 182 240 242	-906229958370
SPT(16)	1512458767301484661	0 10 16 66 70 156 162 190 312 340 346 432 436 486 492 502	-752378810218
SPT(16)	1512459134763390761	0 2 26 50 72 120 146 216 296 366 392 440 462 486 510 512	-384916904118
SPT(16)	1512459244065126619	0 22 34 72 78 150 160 168 184 192 202 274 280 318 330 352	-275615168260
STPT(10)	1512459924244485257	0 2 30 32 42 44 54 56 84 86	404564190378
STPT(10)	1512460025360768507	0 2 90 92 102 104 114 116 204 206	505680473628
SPT(16)	1512460086253616723	0 6 66 90 110 144 164 186 194 216 236 270 290 314 374 380	566573321844
SPT(18)	1512460340975944177	0 10 24 46 52 70 96 114 166 240 292 310 336 354 360 382 396 406	821295649298
STPT(10)	1512460366917281141	0 2 6 8 48 50 90 92 96 98	847236986262