Prime p₀= 1101039941737719119 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 88 2 118 2 112 2 16 2 46 2 (?)
a_n: 0 2 78 80 168 170 288 290 402 404 420 422 468 470
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: 470
Found by: Theadalus
db: batch=76, k=14, 76 88 118 112 16 46

SPT(18)	1101037257044052443	0 8 20 24 98 174 194 234 258 266 290 330 350 426 500 504 516 524	-2684693666676
STPT(10)	1101037544529820169	0 2 18 20 30 32 42 44 60 62	-2397207898950
SPT(16)	1101038203268197297	0 54 64 70 82 90 124 126 130 132 166 174 186 192 202 256	-1738469521822
STPT(10)	1101039280069319177	0 2 30 32 72 74 114 116 144 146	-661668399942
SPT(16)	1101039545594948503	0 10 24 64 70 78 96 108 136 148 166 174 180 220 234 244	-396142770616
SPT(16)	1101039924740987411	0 32 36 60 78 116 126 146 162 182 192 230 248 272 276 308	-16996731708
SPT(16)	1101040830102308867	0 6 44 84 126 146 170 176 204 210 234 254 296 336 374 380	888364589748
STPT(10)	1101041326655183519	0 2 48 50 90 92 132 134 180 182	1384917464400
SPT(16)	1101041652142996813	0 6 28 40 96 124 126 138 286 298 300 328 384 396 418 424	1710405277694
SPT(16)	1101041935851215849	0 12 14 18 30 54 80 168 194 282 308 332 344 348 350 362	1994113496730
STPT(10)	1101042015252799811	0 2 36 38 78 80 120 122 156 158	2073515080692