Prime p₀= 2051716727654319359 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 40 2 64 2 172 2 4 2 40 2 (?)
a_n: 0 2 60 62 102 104 168 170 342 344 348 350 390 392
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: 392
Found by: Landjunge
db: batch=80, k=14, 58 40 64 172 4 40

STPT(10)	2051714948469645029	0 2 18 20 30 32 42 44 60 62	-1779184674330
STPT(10)	2051714966811040637	0 2 30 32 42 44 54 56 84 86	-1760843278722
SPT(16)	2051715006231174577	0 10 12 24 30 34 54 72 112 130 150 154 160 172 174 184	-1721423144782
STPT(10)	2051715690008627471	0 2 6 8 48 50 90 92 96 98	-1037645691888
SPT(16)	2051715906644226143	0 38 60 90 104 126 156 198 266 308 338 360 374 404 426 464	-821010093216
STPT(10)	2051715931485396299	0 2 48 50 90 92 132 134 180 182	-796168923060
STPT(10)	2051717048799716561	0 2 6 8 48 50 90 92 96 98	321145397202
SPT(16)	2051717784803129621	0 6 12 62 120 156 162 170 222 230 236 272 330 380 386 392	1057148810262
SPT(16)	2051718041671503781	0 42 46 52 60 136 162 192 196 226 252 328 336 342 346 388	1314017184422
SPT(16)	2051718624912340511	0 36 66 140 150 156 200 218 270 288 332 338 348 422 452 488	1897258021152
SPT(16)	2051718699378441371	0 18 36 62 90 108 120 146 222 248 260 278 306 332 350 368	1971724122012