Prime p₀= 2867017824668171267 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 40 2 76 2 76 2 88 2 40 2 (?)
a_n: 0 2 42 44 84 86 162 164 240 242 330 332 372 374
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: 374
Found by: [SG-FC] hl
db: batch=82, k=14, 40 40 76 76 88 40

SPT(16)	2867015705402518841	0 36 68 90 96 110 140 152 156 168 198 212 218 240 272 308	-2119265652426
TPT(14)	2867016927262480877	0 2 42 44 150 152 162 164 252 254 300 302 330 332	-897405690390
SPT(16)	2867017043332486721	0 6 18 26 50 56 62 78 80 96 102 108 132 140 152 158	-781335684546
STPT(10)	2867017167308678561	0 2 78 80 168 170 258 260 336 338	-657359492706
SPT(16)	2867017510527525079	0 18 114 138 154 168 244 252 340 348 424 438 454 478 574 592	-314140646188
TPT(14)	2867017689064401137	0 2 12 14 24 26 102 104 144 146 150 152 222 224	-135603770130
SPT(16)	2867017829633523649	0 52 70 88 90 108 132 142 210 220 244 262 264 282 300 352	4965352382
SPT(16)	2867018594807480611	0 12 40 82 108 112 130 138 142 150 168 172 198 240 268 280	770139309344
SPT(16)	2867019392527085947	0 22 76 106 144 186 210 246 250 286 310 352 390 420 474 496	1567858914680
TPT(14)	2867019528609422519	0 2 102 104 180 182 258 260 282 284 342 344 348 350	1703941251252
STPT(10)	2867019966781367687	0 2 90 92 132 134 174 176 264 266	2142113196420