Prime p₀= 3879126949085836289 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 16 2 178 2 10 2 46 2 22 2 (?)
a_n: 0 2 30 32 48 50 228 230 240 242 288 290 312 314
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: 314
Found by: SEARCHER
db: batch=84, k=14, 28 16 178 10 46 22

STPT(10)	3879124950296397467	0 2 12 14 42 44 72 74 84 86	-1998789438822
SPT(16)	3879125395358343587	0 6 14 20 30 56 90 132 254 296 330 356 366 372 380 386	-1553727492702
STPT(10)	3879126053262868997	0 2 30 32 42 44 54 56 84 86	-895822967292
SPT(16)	3879126309683583289	0 4 18 60 118 172 174 198 244 268 270 324 382 424 438 442	-639402253000
SPT(16)	3879126361152794441	0 6 20 30 48 98 132 158 210 236 270 320 338 348 362 368	-587933041848
STPT(10)	3879126875173878899	0 2 18 20 30 32 42 44 60 62	-73911957390
STPT(10)	3879127300144216997	0 2 30 32 60 62 90 92 120 122	351058380708
SPT(16)	3879127974078163523	0 38 54 78 90 104 110 150 164 204 210 224 236 260 276 314	1024992327234
SPT(16)	3879128287931917771	0 88 130 168 190 256 288 300 358 370 402 468 490 528 570 658	1338846081482
SPT(16)	3879129015745414427	0 2 36 42 72 80 96 150 152 206 222 230 260 266 300 302	2066659578138
SPT(16)	3879129694586986447	0 40 102 112 144 174 210 214 222 226 262 292 324 334 396 436	2745501150158