Prime p₀= 357714011549403701 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 124 2 22 2 58 2 76 2 16 2 (?)
a_n: 0 2 126 128 150 152 210 212 288 290 306 308
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: 308
Found by: mcf2020
db: batch=70, k=12, 124 22 58 76 16

SPT(14)	357713960211390997	0 4 12 70 102 112 114 172 174 184 216 274 282 286	-51338012704
SPT(14)	357713966301766843	0 16 28 30 40 60 118 138 196 216 226 228 240 256	-45247636858
SPT(14)	357713977408686947	0 12 20 24 96 122 126 170 174 200 272 276 284 296	-34140716754
TPT(12)	357713980572834251	0 2 18 20 36 38 60 62 78 80 90 92	-30976569450
TPT(12)	357713987924528819	0 2 108 110 132 134 138 140 180 182 288 290	-23624874882
SPT(16)	357713989857282259	0 12 64 70 78 82 90 190 222 322 330 334 342 348 400 412	-21692121442
SPT(14)	357714014906914139	0 60 78 102 108 152 204 248 300 344 350 374 392 452	3357510438
SPT(14)	357714032170481297	0 24 26 50 54 56 86 90 120 122 126 150 152 176	20621077596
SPT(14)	357714063012003283	0 18 70 108 120 150 276 340 466 496 508 546 598 616	51462599582
TPT(12)	357714068768663729	0 2 42 44 90 92 132 134 150 152 192 194	57219260028
STPT(10)	357714075040340867	0 2 30 32 60 62 90 92 120 122	63490937166