Prime p₀= 511977472800090497 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 112 2 106 2 40 2 34 2 22 2 (?)
a_n: 0 2 114 116 222 224 264 266 300 302 324 326
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: 326
Found by: mcf2020
db: batch=71, k=12, 112 106 40 34 22

SPT(14)	511977365910932371	0 28 36 42 60 66 88 90 112 118 136 142 150 178	-106889158126
SPT(14)	511977371072643367	0 30 40 52 72 112 150 334 372 412 432 444 454 484	-101727447130
SPT(16)	511977382069230019	0 18 22 24 52 94 172 178 204 210 288 330 358 360 364 382	-90730860478
TPT(12)	511977391162818041	0 2 30 32 66 68 138 140 156 158 168 170	-81637272456
SPT(14)	511977400112515669	0 24 28 78 120 154 178 210 234 268 310 360 364 388	-72687574828
SPT(14)	511977453332910701	0 12 50 90 146 198 222 296 320 372 428 468 506 518	-19467179796
SPT(14)	511977485152729819	0 72 82 124 160 172 174 220 222 234 270 312 322 394	12352639322
SPT(14)	511977493525363147	0 42 52 72 76 94 142 144 192 210 214 234 244 286	20725272650
TPT(12)	511977534831637751	0 2 186 188 198 200 216 218 258 260 270 272	62031547254
SPT(14)	511977542998987291	0 10 30 42 52 70 72 88 90 108 118 130 150 160	70198896794
SPT(14)	511977573425205059	0 14 42 60 78 90 98 174 182 194 212 230 258 272	100625114562