Prime p₀= 331322690774963009 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 76 2 100 2 28 2 10 2 34 2 (?)
a_n: 0 2 78 80 180 182 210 212 222 224 258 260
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: 260
Found by: paulteo
db: batch=70, k=12, 76 100 28 10 34

TPT(12)	331322605443974369	0 2 30 32 42 44 78 80 120 122 168 170	-85330988640
SPT(14)	331322619071236921	0 30 72 88 112 160 190 198 228 276 300 316 358 388	-71703726088
SPT(14)	331322630896675183	0 36 54 76 106 138 174 190 226 258 288 310 328 364	-59878287826
SPT(14)	331322638390616417	0 12 26 54 84 96 146 150 200 212 242 270 284 296	-52384346592
SPT(14)	331322667545607571	0 10 16 36 58 70 82 126 138 150 172 192 198 208	-23229355438
SPT(14)	331322683083749479	0 28 42 72 94 162 210 232 280 348 370 400 414 442	-7691213530
SPT(14)	331322702069561731	0 40 72 106 126 130 172 180 222 226 246 280 312 352	11294598722
SPT(14)	331322705800031131	0 6 30 36 42 46 58 60 72 76 82 88 112 118	15025068122
SPT(14)	331322712569901379	0 34 40 64 78 130 138 244 252 304 318 342 348 382	21794938370
TPT(12)	331322721292726949	0 2 30 32 42 44 60 62 78 80 162 164	30517763940
SPT(16)	331322754089397127	0 4 46 100 106 150 210 232 234 256 316 360 366 420 462 466	63314434118