Prime p₀= 2290561571369441327 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 196 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 240 242 270 272 282 284
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: 284
Found by: Landjunge
db: batch=81, k=12, 2 10 2 28 2 196

STPT(10)	2290560895485402539	0 2 18 20 30 32 42 44 60 62	-675884038788
STPT(10)	2290560981140432237	0 2 30 32 42 44 54 56 84 86	-590229009090
SPT(16)	2290561029114689117	0 2 42 54 90 140 174 182 222 230 264 314 350 362 402 404	-542254752210
SPT(16)	2290561068611154673	0 78 88 94 126 136 154 166 258 270 288 298 330 336 346 424	-502758286654
STPT(10)	2290561138825331969	0 2 42 44 60 62 78 80 120 122	-432544109358
SPT(16)	2290561472445220321	0 18 72 88 90 100 118 130 210 222 240 250 252 268 322 340	-98924221006
SPT(16)	2290561758848921783	0 24 128 140 164 200 210 218 486 494 504 540 564 576 680 704	187479480456
SPT(16)	2290561832912118803	0 20 74 98 126 168 170 186 188 204 206 248 276 300 354 374	261542677476
TPT(14)	2290561865051717237	0 2 12 14 24 26 114 116 162 164 192 194 234 236	293682275910
SPT(16)	2290562111176960717	0 10 52 76 82 160 214 222 244 252 306 384 390 414 456 466	539807519390
TPT(14)	2290562151893993687	0 2 54 56 90 92 132 134 150 152 210 212 222 224	580524552360