Prime p₀= 2683168837654718447 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 46 2 40 2 28 2 64 2 52 2 (?)
a_n: 0 2 24 26 72 74 114 116 144 146 210 212 264 266
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: 266
Found by: JayPi
db: batch=82, k=14, 22 46 40 28 64 52

TPT(14)	2683166897355228281	0 2 90 92 138 140 240 242 258 260 270 272 306 308	-1940299490166
STPT(10)	2683167079911334559	0 2 12 14 90 92 168 170 180 182	-1757743383888
STPT(10)	2683167382728097007	0 2 30 32 42 44 54 56 84 86	-1454926621440
SPT(16)	2683167465355036087	0 16 70 120 130 142 150 172 204 226 234 246 256 306 360 376	-1372299682360
STPT(10)	2683168234700525951	0 2 36 38 78 80 120 122 156 158	-602954192496
SPT(16)	2683168234802889091	0 12 30 48 52 100 102 112 156 166 168 216 220 238 256 268	-602851829356
STPT(10)	2683169178678412997	0 2 60 62 72 74 84 86 144 146	341023694550
SPT(16)	2683169314779531649	0 24 40 54 84 100 108 154 168 214 222 238 268 282 298 322	477124813202
SPT(16)	2683169754881814773	0 14 60 120 138 234 246 260 354 368 380 476 494 554 600 614	917227096326
SPT(16)	2683170115565643499	0 34 42 48 102 210 250 294 298 342 382 490 544 550 558 592	1277910925052
TPT(14)	2683170284247013397	0 2 12 14 90 92 114 116 132 134 144 146 180 182	1446592294950