Prime p₀= 2692370678285669657 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 22 2 58 2 4 2 58 2 22 2 (?)
a_n: 0 2 24 26 84 86 90 92 150 152 174 176
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: 176
Found by: Jeff17
db: batch=82, k=12, 2 22 2 58 2 4

SPT(16)	2692369769079640009	0 40 78 84 138 154 174 198 244 268 288 304 358 364 402 442	-909206029648
STPT(10)	2692370158512011561	0 2 78 80 108 110 138 140 216 218	-519773658096
STPT(12)	2692370183103895079	0 2 78 80 90 92 120 122 132 134 210 212	-495181774578
SPT(16)	2692370364667534703	0 36 60 78 110 126 158 224 330 396 428 444 476 494 518 554	-313618134954
SPT(16)	2692370573688687587	0 14 20 66 72 86 90 104 132 146 150 164 170 216 222 236	-104596982070
SPT(16)	2692370665129877957	0 2 36 86 192 210 234 306 320 392 416 434 540 590 624 626	-13155791700
SPT(16)	2692370804556496123	0 30 54 60 64 78 88 100 144 156 166 180 184 190 214 244	126270826466
SPT(16)	2692371701496093689	0 18 48 74 78 134 140 150 158 168 174 230 234 260 290 308	1023210424032
STPT(10)	2692372166161782821	0 2 66 68 138 140 210 212 276 278	1487876113164
STPT(10)	2692372353582671831	0 2 36 38 78 80 120 122 156 158	1675297002174
STPT(10)	2692372952777840159	0 2 42 44 60 62 78 80 120 122	2274492170502