Prime p₀= 2144647910020921967 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 178 2 88 2 70 2 88 2 58 2 58 2 (?)
a_n: 0 2 180 182 270 272 342 344 432 434 492 494 552 554
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: 554
Found by: CoolAtchOk
db: batch=80, k=14, 178 88 70 88 58 58

SPT(16)	2144646771843168601	0 12 28 30 42 72 82 100 108 126 136 166 178 180 196 208	-1138177753366
STPT(10)	2144647110807423347	0 2 30 32 72 74 114 116 144 146	-799213498620
SPT(16)	2144647154435744509	0 18 22 24 48 70 82 84 88 90 102 124 148 150 154 172	-755585177458
SPT(16)	2144647202415848561	0 2 18 36 48 72 156 158 270 272 356 380 392 410 426 428	-707605073406
SPT(16)	2144647407094378271	0 12 26 78 116 128 138 156 182 200 210 222 260 312 326 338	-502926543696
STPT(10)	2144647475750938967	0 2 30 32 42 44 54 56 84 86	-434269983000
SPT(16)	2144648328154317311	0 6 18 60 62 78 186 198 200 212 320 336 338 380 392 398	418133395344
SPT(16)	2144649711623344621	0 12 16 76 126 138 166 178 180 192 220 232 282 342 346 358	1801602422654
STPT(10)	2144649850796643077	0 2 24 26 42 44 60 62 84 86	1940775721110
SPT(16)	2144649858432363059	0 8 12 68 98 108 140 144 218 222 254 264 294 350 354 362	1948411441092
SPT(16)	2144650554045527141	0 60 132 150 168 182 216 228 290 302 336 350 368 386 458 518	2644024605174