Prime p₀= 2692311466648458857 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 70 2 76 2 88 2 40 2 46 2 (?)
a_n: 0 2 72 74 144 146 222 224 312 314 354 356 402 404
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: 404
Found by: JayPi
db: batch=82, k=14, 70 70 76 88 40 46

SPT(16)	2692309319287941841	0 12 22 46 78 96 112 120 178 186 202 220 252 276 286 298	-2147360517016
STPT(10)	2692309596716525867	0 2 12 14 72 74 132 134 144 146	-1869931932990
SPT(16)	2692309619167097507	0 26 32 54 84 102 146 152 174 180 224 242 272 294 300 326	-1847481361350
SPT(16)	2692309746567429211	0 6 10 60 90 112 130 132 196 198 216 238 268 318 322 328	-1720081029646
SPT(16)	2692311318445638041	0 42 66 92 98 120 152 192 236 276 308 330 336 362 386 428	-148202820816
TPT(14)	2692311443041650629	0 2 132 134 168 170 222 224 348 350 372 374 390 392	-23606808228
STPT(10)	2692312020476563151	0 2 6 8 18 20 30 32 36 38	553828104294
SPT(16)	2692312094703695677	0 16 64 82 90 120 136 156 160 180 196 226 234 252 300 316	628055236820
SPT(16)	2692313008447934609	0 24 44 80 84 92 152 182 192 222 282 290 294 330 350 374	1541799475752
TPT(14)	2692313644281589421	0 2 30 32 78 80 120 122 156 158 186 188 210 212	2177633130564
STPT(10)	2692313833889695199	0 2 30 32 60 62 90 92 120 122	2367241236342