Prime p₀= 2113437444410926721 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: Vato
db: batch=80, k=12, 2 64 2 28 2 52

SPT(16)	2113436182470492107	0 2 12 20 44 62 126 144 182 200 264 282 306 314 324 326	-1261940434614
SPT(16)	2113437005850017963	0 14 24 90 114 120 156 168 176 188 224 230 254 320 330 344	-438560908758
TPT(14)	2113437138685744217	0 2 132 134 162 164 192 194 264 266 390 392 462 464	-305725182504
SPT(16)	2113437310957798213	0 10 70 120 136 166 180 220 264 304 318 348 364 414 474 484	-133453128508
SPT(16)	2113437351193277701	0 28 30 48 70 130 132 148 180 196 198 258 280 298 300 328	-93217649020
TPT(14)	2113437403553635037	0 2 60 62 90 92 180 182 282 284 294 296 300 302	-40857291684
SPT(16)	2113438331762060183	0 38 44 48 56 114 144 216 248 320 350 408 416 420 426 464	887351133462
SPT(16)	2113438407769396703	0 78 90 98 114 144 158 186 188 216 230 260 276 284 296 374	963358469982
STPT(10)	2113438458354538067	0 2 30 32 42 44 54 56 84 86	1013943611346
SPT(16)	2113438959078747371	0 8 32 36 42 66 78 152 276 350 362 386 392 396 420 428	1514667820650
SPT(16)	2113439141203199861	0 20 36 38 56 98 102 140 168 206 210 252 270 272 288 308	1696792273140