Prime p₀= 757690622661547457 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 190 2 70 2 64 2 82 2 16 2 10 2 (?)
a_n: 0 2 192 194 264 266 330 332 414 416 432 434 444 446
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: 446
Found by: [SG]FX
db: batch=73, k=14, 190 70 64 82 16 10

STPT(10)	757689331613630621	0 2 6 8 18 20 30 32 36 38	-1291047916836
SPT(16)	757690019571821383	0 10 24 54 64 76 78 90 154 166 168 180 190 220 234 244	-603089726074
SPT(16)	757690375150313519	0 62 78 80 102 144 158 188 204 234 248 290 312 314 330 392	-247511233938
SPT(20)	757690482685076279	0 20 48 54 62 104 108 114 122 170 192 240 248 254 258 300 308 314 342 362	-139976471178
SPT(16)	757690523254058087	0 26 30 42 80 96 102 114 122 134 140 156 194 206 210 236	-99407489370
STPT(10)	757690566071660951	0 2 36 38 78 80 120 122 156 158	-56589886506
STPT(10)	757690794771673949	0 2 18 20 30 32 42 44 60 62	172110126492
SPT(16)	757690858045404797	0 2 126 170 180 246 264 276 320 332 350 416 426 470 594 596	235383857340
SPT(16)	757691205129168007	0 10 12 52 60 70 96 106 126 136 162 172 180 220 222 232	582467620550
STPT(10)	757691644838507801	0 2 36 38 78 80 120 122 156 158	1022176960344
TPT(14)	757691704125372449	0 2 30 32 42 44 180 182 198 200 270 272 402 404	1081463824992