Prime p₀= 2324033132512700627 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 40 2 28 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 102 104 144 146 174 176
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: Orange Kid
db: batch=81, k=12, 2 28 2 40 2 28

SPT(16)	2324032263336498703	0 16 36 88 118 130 196 234 280 318 384 396 426 478 498 514	-869176201924
SPT(16)	2324032458969697951	0 52 66 70 88 90 96 118 150 172 178 180 198 202 216 268	-673543002676
SPT(16)	2324032546107520693	0 40 46 76 186 198 210 240 256 286 298 310 420 450 456 496	-586405179934
TPT(14)	2324032582714242689	0 2 18 20 240 242 252 254 330 332 378 380 408 410	-549798457938
TPT(14)	2324032803607652117	0 2 12 14 54 56 120 122 204 206 210 212 222 224	-328905048510
SPT(16)	2324032911371179787	0 20 42 60 62 72 80 146 210 276 284 294 296 314 336 356	-221141520840
SPT(16)	2324033780653760129	0 78 132 140 164 182 218 230 252 264 300 318 342 350 404 482	648141059502
SPT(16)	2324033850586142683	0 6 10 24 30 70 76 126 184 234 240 280 286 300 304 310	718073442056
STPT(10)	2324034290837950511	0 2 6 8 18 20 30 32 36 38	1158325249884
STPT(10)	2324034422803527491	0 2 36 38 78 80 120 122 156 158	1290290826864
STPT(10)	2324034570114707687	0 2 30 32 42 44 54 56 84 86	1437602007060