Prime p₀= 2612013205537473251 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 64 2 28 2 52 2 28 2 64 2 (?)
a_n: 0 2 66 68 96 98 150 152 180 182 246 248
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: 248
Found by: biodoc
db: batch=82, k=12, 2 64 2 28 2 52

SPT(16)	2612011805226804991	0 6 30 36 58 76 132 148 300 316 372 390 412 418 442 448	-1400310668260
SPT(16)	2612011938699050483	0 18 26 66 74 114 126 170 234 278 290 330 338 378 386 404	-1266838422768
SPT(16)	2612012112216718139	0 8 12 38 80 108 122 144 158 180 194 222 264 290 294 302	-1093320755112
STPT(10)	2612012125981040477	0 2 60 62 102 104 144 146 204 206	-1079556432774
SPT(16)	2612012154586286377	0 16 52 72 94 132 142 156 190 204 214 252 274 294 330 346	-1050951186874
SPT(16)	2612013083604867893	0 20 26 30 38 44 96 98 156 158 210 216 224 228 234 254	-121932605358
SPT(16)	2612013536763567271	0 76 150 168 216 220 256 258 340 342 378 382 430 448 522 598	331226094020
SPT(16)	2612014704557741029	0 10 22 54 88 120 130 144 148 162 172 204 238 270 282 292	1499020267778
STPT(10)	2612015004766181429	0 2 18 20 30 32 42 44 60 62	1799228708178
STPT(10)	2612015078701020857	0 2 12 14 72 74 132 134 144 146	1873163547606
STPT(10)	2612015104078123559	0 2 12 14 30 32 48 50 60 62	1898540650308