Prime p₀= 131499159952817297 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 82 2 16 2 10 2 148 2 46 2 (?)
a_n: 0 2 84 86 102 104 114 116 264 266 312 314
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: 314
Found by: [SG]ATA-Rolf
db: batch=67, k=12, 82 16 10 148 46

TPT(12)	131499057925425779	0 2 30 32 120 122 138 140 180 182 222 224	-102027391518
SPT(14)	131499076576857323	0 6 48 66 80 90 104 210 224 234 248 266 308 314	-83375959974
SPT(14)	131499090978374641	0 22 36 42 78 88 90 118 120 130 166 172 186 208	-68974442656
SPT(14)	131499109279496561	0 42 80 96 110 180 206 252 278 348 362 378 416 458	-50673320736
SPT(14)	131499120143973299	0 2 72 78 90 102 144 158 200 212 224 230 300 302	-39808843998
SPT(14)	131499158857143929	0 8 78 90 92 140 158 192 210 258 260 272 342 350	-1095673368
SPT(14)	131499163403267369	0 12 24 50 110 120 132 140 152 162 222 248 260 272	3450450072
TPT(12)	131499176426455889	0 2 18 20 42 44 60 62 78 80 120 122	16473638592
SPT(14)	131499176515006439	0 14 24 74 90 122 128 144 150 182 198 248 258 272	16562189142
SPT(14)	131499182037356317	0 34 52 60 84 94 144 160 210 220 244 252 270 304	22084539020
SPT(14)	131499203581029281	0 8 12 48 50 72 90 140 158 180 182 218 222 230	43628211984