Prime p₀= 2665237626128994881 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 106 2 40 2 4 2 70 2 88 2 76 2 (?)
a_n: 0 2 108 110 150 152 156 158 228 230 318 320 396 398
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: 398
Found by: [SG-2W]Kurzer
db: batch=82, k=14, 106 40 4 70 88 76

SPT(16)	2665234207617331699	0 12 30 112 114 142 144 172 222 250 252 280 282 364 382 394	-3418511663182
STPT(10)	2665234573699645229	0 2 42 44 60 62 78 80 120 122	-3052429349652
STPT(10)	2665235042789379161	0 2 6 8 48 50 90 92 96 98	-2583339615720
SPT(16)	2665235573685219259	0 30 48 70 72 82 124 154 228 258 300 310 312 334 352 382	-2052443775622
SPT(16)	2665236052483617703	0 6 24 34 46 76 94 96 208 210 228 258 270 280 298 304	-1573645377178
SPT(16)	2665237379872790267	0 6 24 42 62 72 122 132 164 174 224 234 254 272 290 296	-246256204614
SPT(16)	2665237652308730381	0 72 80 86 98 126 158 182 186 210 242 270 282 288 296 368	26179735500
SPT(16)	2665238246347731211	0 36 70 72 216 280 300 310 348 358 378 442 586 588 622 658	620218736330
SPT(16)	2665238593264472597	0 14 42 56 60 72 110 186 260 336 374 386 390 404 432 446	967135477716
STPT(10)	2665239104479009109	0 2 18 20 60 62 102 104 120 122	1478350014228
STPT(10)	2665239301267957787	0 2 90 92 102 104 114 116 204 206	1675138962906