Prime p₀= 2999321268466059497 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 58 2 106 2 58 2 40 2 (?)
a_n: 0 2 42 44 102 104 210 212 270 272 312 314
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: 314
Found by: Roadranner
db: batch=82, k=12, 2 40 2 58 2 106

SPT(16)	2999320566944449499	0 8 14 42 50 90 98 134 138 174 182 222 230 258 264 272	-701521609998
SPT(16)	2999320750721565107	0 66 74 92 110 126 144 146 180 182 200 216 234 252 260 326	-517744494390
STPT(10)	2999320778144312561	0 2 30 32 60 62 90 92 120 122	-490321746936
STPT(10)	2999320951854089789	0 2 12 14 90 92 168 170 180 182	-316611969708
SPT(16)	2999321213643948341	0 36 38 98 120 150 168 192 236 260 278 308 330 390 392 428	-54822111156
STPT(10)	2999321239933489481	0 2 6 8 48 50 90 92 96 98	-28532570016
SPT(16)	2999321371040542901	0 20 62 72 86 110 146 152 156 162 198 222 236 246 288 308	102574483404
SPT(16)	2999321564474293979	0 48 110 174 182 188 218 224 348 354 384 390 398 462 524 572	296008234482
SPT(16)	2999322352877271683	0 14 36 96 98 104 126 138 176 188 210 216 218 278 300 314	1084411212186
STPT(10)	2999322414107106287	0 2 12 14 72 74 132 134 144 146	1145641046790
STPT(10)	2999322945603734777	0 2 24 26 42 44 60 62 84 86	1677137675280