Prime p₀= 316396416569481761 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 34 2 22 2 106 2 28 2 10 2 (?)
a_n: 0 2 36 38 60 62 168 170 198 200 210 212
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: 212
Found by: vaughan
db: batch=70, k=12, 34 22 106 28 10

TPT(12)	316396352912506037	0 2 54 56 150 152 252 254 264 266 384 386	-63656975724
SPT(14)	316396363633526359	0 10 24 52 54 94 120 184 210 250 252 280 294 304	-52935955402
SPT(14)	316396365881208401	0 6 18 20 48 62 66 92 96 110 138 140 152 158	-50688273360
TPT(12)	316396390061367377	0 2 84 86 144 146 192 194 210 212 264 266	-26508114384
SPT(14)	316396408450276457	0 30 42 62 72 90 140 156 206 224 234 254 266 296	-8119205304
SPT(14)	316396411329175559	0 2 42 54 90 134 152 162 180 224 260 272 312 314	-5240306202
SPT(14)	316396433566302679	0 24 42 52 64 130 150 154 174 240 252 262 280 304	16996820918
SPT(20)	316396437242492447	0 102 126 140 164 192 210 224 234 240 296 302 312 326 344 372 396 410 434 536	20673010686
SPT(14)	316396447009951849	0 72 94 102 120 184 268 414 498 562 580 588 610 682	30440470088
SPT(14)	316396466911951661	0 8 20 72 86 92 98 120 126 132 146 198 210 218	50342469900
SPT(16)	316396468101565541	0 30 42 72 86 110 138 158 210 230 258 282 296 326 338 368	51532083780