Prime p₀= 1262334541349573441 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 58 2 28 2 148 2 88 2 40 2 (?)
a_n: 0 2 78 80 138 140 168 170 318 320 408 410 450 452
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: 452
Found by: HenkM
db: batch=77, k=14, 76 58 28 148 88 40

SPT(16)	1262332225987718101	0 12 40 52 90 108 130 178 210 258 280 298 336 348 376 388	-2315361855340
SPT(16)	1262332590717721067	0 72 74 84 114 116 132 146 210 224 240 242 272 282 284 356	-1950631852374
STPT(10)	1262333203226463617	0 2 30 32 42 44 54 56 84 86	-1338123109824
STPT(10)	1262334028338552287	0 2 30 32 42 44 54 56 84 86	-513011021154
SPT(16)	1262334271612518101	0 2 8 12 26 32 48 72 116 140 156 162 176 180 186 188	-269737055340
STPT(10)	1262334463843876037	0 2 24 26 42 44 60 62 84 86	-77505697404
STPT(10)	1262334727520452511	0 2 30 32 78 80 126 128 156 158	186170879070
STPT(10)	1262334783387808157	0 2 30 32 42 44 54 56 84 86	242038234716
STPT(10)	1262335582936935107	0 2 30 32 42 44 54 56 84 86	1041587361666
SPT(16)	1262335752309634463	0 26 66 86 96 156 164 174 206 216 224 284 294 314 354 380	1210960061022
SPT(16)	1262335852015473971	0 50 68 80 168 182 192 212 288 308 318 332 420 432 450 500	1310665900530