Prime p₀= 1314037465451948267 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 46 2 22 2 4 2 10 2 40 2 (?)
a_n: 0 2 42 44 90 92 114 116 120 122 132 134 174 176
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 176
Found by: BlackGoose05
db: batch=77, k=14, 40 46 22 4 10 40

STPT(10)	1314036343403230199	0 2 18 20 30 32 42 44 60 62	-1122048718068
SPT(16)	1314036656547351587	0 6 30 56 60 74 86 110 120 144 156 170 174 200 224 230	-808904596680
SPT(16)	1314036947873702113	0 10 24 28 34 36 46 90 274 318 328 330 336 340 354 364	-517578246154
SPT(16)	1314036997020063593	0 14 30 50 144 170 210 264 326 380 420 446 540 560 576 590	-468431884674
STPT(10)	1314036998901206549	0 2 12 14 30 32 48 50 60 62	-466550741718
SPT(16)	1314037117093917413	0 54 60 114 134 138 140 156 248 264 266 270 290 344 350 404	-348358030854
SPT(16)	1314037482548572513	0 84 88 90 106 114 118 154 300 336 340 348 364 366 370 454	17096624246
SPT(16)	1314037751166113279	0 20 38 48 62 80 122 132 140 150 192 210 224 234 252 272	285714165012
STPT(10)	1314038934950919521	0 2 36 38 78 80 120 122 156 158	1469498971254
STPT(10)	1314039461885777951	0 2 30 32 78 80 126 128 156 158	1996433829684
STPT(10)	1314039502880081177	0 2 12 14 72 74 132 134 144 146	2037428132910