Prime p₀= 2591368912250523929 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 28 2 46 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 108 110 138 140 168 170
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: 170
Found by: RFGuy_KCCO
db: batch=82, k=12, 2 28 2 28 2 46

STPT(10)	2591366361997729331	0 2 36 38 78 80 120 122 156 158	-2550252794598
STPT(12)	2591366688913455839	0 2 12 14 72 74 78 80 138 140 150 152	-2223337068090
SPT(16)	2591366898218510941	0 16 40 42 72 102 118 138 190 210 226 256 286 288 312 328	-2014032012988
STPT(10)	2591367078984522101	0 2 6 8 48 50 90 92 96 98	-1833266001828
SPT(16)	2591367735530127293	0 110 126 174 180 224 230 234 260 264 270 314 320 368 384 494	-1176720396636
STPT(10)	2591368518757113659	0 2 12 14 90 92 168 170 180 182	-393493410270
SPT(16)	2591368913573166821	0 68 78 92 122 138 156 188 240 272 290 306 336 350 360 428	1322642892
SPT(16)	2591369043641793803	0 24 50 108 126 150 156 180 194 218 224 248 266 324 350 374	131391269874
SPT(16)	2591369058517129769	0 2 8 92 110 120 152 194 198 240 272 282 300 384 390 392	146266605840
STPT(10)	2591369420373784871	0 2 6 8 18 20 30 32 36 38	508123260942
SPT(16)	2591369479902845137	0 96 114 126 192 216 222 244 402 424 430 454 520 532 550 646	567652321208