Prime p₀= 2686594745378917649 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 4 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 48 50 78 80 90 92
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: 92
Found by: RFGuy_KCCO
db: batch=82, k=12, 2 10 2 28 2 4

SPT(16)	2686594122731875453	0 4 6 70 84 114 130 136 234 240 256 286 300 364 366 370	-622647042196
SPT(16)	2686594356831205357	0 4 34 66 70 76 96 154 192 250 270 276 280 312 342 346	-388547712292
STPT(10)	2686594543817502509	0 2 78 80 120 122 162 164 240 242	-201561415140
SPT(16)	2686594557291944471	0 18 78 156 170 188 198 212 216 230 240 258 272 350 410 428	-188086973178
STPT(10)	2686594637473317377	0 2 42 44 72 74 102 104 144 146	-107905600272
STPT(10)	2686594698259972499	0 2 18 20 30 32 42 44 60 62	-47118945150
STPT(10)	2686594815595050161	0 2 6 8 48 50 90 92 96 98	70216132512
SPT(16)	2686594885343867923	0 34 36 78 118 126 174 204 220 250 298 306 346 388 390 424	139964950274
STPT(10)	2686595144129654207	0 2 90 92 102 104 114 116 204 206	398750736558
SPT(16)	2686595300773158589	0 12 24 112 138 168 202 244 258 300 334 364 390 478 490 502	555394240940
SPT(16)	2686595435652900809	0 14 38 60 74 78 90 140 168 218 230 234 248 270 294 308	690273983160