Prime p₀= 1311707178903057089 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 70 2 28 2 34 2 28 2 70 2 (?)
a_n: 0 2 72 74 102 104 138 140 168 170 240 242
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: 242
Found by: Theadalus
db: batch=77, k=12, 2 70 2 28 2 34

SPT(16)	1311705878328589417	0 4 76 90 120 156 160 172 174 186 190 226 256 270 342 346	-1300574467672
SPT(16)	1311706010175025951	0 6 16 28 48 132 142 180 238 276 286 370 390 402 412 418	-1168728031138
SPT(16)	1311706056831464167	0 12 34 46 66 84 124 126 220 222 262 280 300 312 334 346	-1122071592922
SPT(16)	1311706495081398301	0 6 12 78 88 100 106 156 172 222 228 240 250 316 322 328	-683821658788
SPT(16)	1311706912332038267	0 56 110 146 156 174 182 222 224 264 272 290 300 336 390 446	-266571018822
STPT(10)	1311706969189538837	0 2 24 26 42 44 60 62 84 86	-209713518252
SPT(16)	1311707303475388067	0 2 30 56 80 96 152 182 204 234 290 306 330 356 384 386	124572330978
STPT(10)	1311707706900384767	0 2 30 32 42 44 54 56 84 86	527997327678
STPT(10)	1311707920051065077	0 2 30 32 72 74 114 116 144 146	741148007988
SPT(16)	1311708015208999217	0 6 36 62 66 90 110 132 140 162 182 206 210 236 266 272	836305942128
TPT(14)	1311708076330045367	0 2 42 44 114 116 204 206 210 212 294 296 360 362	897426988278