Prime p₀= 2443345968158129777 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 16 2 22 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 54 56 72 74 84 86
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: 86
Found by: JayPi
db: batch=82, k=12, 2 10 2 16 2 22

SPT(16)	2443344796333672351	0 60 66 70 136 138 196 268 390 462 520 522 588 592 598 658	-1171824457426
SPT(16)	2443344922727456677	0 42 72 102 124 132 210 222 244 256 334 342 364 394 424 466	-1045430673100
SPT(16)	2443345073046405683	0 60 134 156 198 264 278 336 338 396 410 476 518 540 614 674	-895111724094
STPT(10)	2443345121594737817	0 2 30 32 72 74 114 116 144 146	-846563391960
STPT(10)	2443345812610861271	0 2 36 38 78 80 120 122 156 158	-155547268506
SPT(16)	2443345906111582019	0 44 72 80 150 234 240 248 294 302 308 392 462 470 498 542	-62046547758
SPT(16)	2443346270309696501	0 38 66 80 110 116 126 182 246 302 312 318 348 362 390 428	302151566724
SPT(16)	2443346431458198493	0 30 58 66 76 100 156 168 226 238 294 318 328 336 364 394	463300068716
STPT(10)	2443346501867674589	0 2 18 20 30 32 42 44 60 62	533709544812
STPT(10)	2443346667035623829	0 2 18 20 30 32 42 44 60 62	698877494052
STPT(10)	2443346741889041531	0 2 6 8 48 50 90 92 96 98	773730911754