Prime p₀= 2311193688585499799 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 34 2 82 2 34 2 10 2 (?)
a_n: 0 2 12 14 48 50 132 134 168 170 180 182
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: 182
Found by: FritzB
db: batch=81, k=12, 2 10 2 34 2 82

TPT(14)	2311192505099988941	0 2 30 32 90 92 138 140 156 158 186 188 210 212	-1183485510858
SPT(16)	2311192544144602123	0 66 78 136 168 210 234 238 246 250 274 316 348 406 418 484	-1144440897676
TPT(14)	2311192923191736971	0 2 30 32 36 38 90 92 156 158 168 170 186 188	-765393762828
STPT(10)	2311193123001311357	0 2 54 56 72 74 90 92 144 146	-565584188442
STPT(10)	2311193331483816719	0 2 18 20 30 32 42 44 60 62	-357101683080
TPT(14)	2311193381175446477	0 2 24 26 84 86 90 92 132 134 162 164 180 182	-307410053322
SPT(16)	2311194023425394831	0 36 38 78 80 86 98 146 192 240 252 258 260 300 302 338	334839895032
SPT(16)	2311194182445440681	0 20 30 68 78 90 98 140 168 210 218 230 240 278 288 308	493859940882
TPT(14)	2311194482843028047	0 2 42 44 114 116 192 194 210 212 270 272 282 284	794257528248
SPT(16)	2311194743554499597	0 20 32 42 54 84 90 110 126 146 152 182 194 204 216 236	1054968999798
STPT(10)	2311194893322365717	0 2 84 86 162 164 240 242 324 326	1204736865918