Prime p₀= 2844739697316850367 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 10 2 94 2 52 2 4 2 28 2 (?)
a_n: 0 2 72 74 84 86 180 182 234 236 240 242 270 272
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: 272
Found by: [SG-FC] hl
db: batch=82, k=14, 70 10 94 52 4 28

STPT(10)	2844738445541135777	0 2 54 56 132 134 210 212 264 266	-1251775714590
SPT(16)	2844738758571182153	0 36 38 80 168 198 240 248 258 266 308 338 426 468 470 506	-938745668214
SPT(16)	2844739145592257983	0 10 46 60 156 210 214 216 238 240 244 298 394 408 444 454	-551724592384
SPT(16)	2844739306762744267	0 42 52 64 70 126 142 172 174 204 220 276 282 294 304 346	-390554106100
SPT(16)	2844739402953290111	0 20 62 120 122 188 198 210 218 230 240 306 308 366 408 428	-294363560256
TPT(14)	2844739665731535491	0 2 36 38 126 128 138 140 150 152 258 260 306 308	-31585314876
STPT(10)	2844739999004947739	0 2 78 80 150 152 222 224 300 302	301688097372
STPT(10)	2844740001091128947	0 2 42 44 102 104 162 164 204 206	303774278580
STPT(10)	2844740065576526807	0 2 30 32 42 44 54 56 84 86	368259676440
STPT(10)	2844740197905129617	0 2 30 32 60 62 90 92 120 122	500588279250
SPT(16)	2844740460851028737	0 6 12 20 32 50 126 152 210 236 312 330 342 350 356 362	763534178370