Prime p₀= 2569860379125749849 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 4 2 148 2 22 2 208 2 124 2 (?)
a_n: 0 2 12 14 18 20 168 170 192 194 402 404 528 530
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: 530
Found by: RFGuy_KCCO
db: batch=82, k=14, 10 4 148 22 208 124

TPT(14)	2569858632051730847	0 2 90 92 102 104 144 146 300 302 324 326 330 332	-1747074019002
STPT(10)	2569858835939275589	0 2 18 20 60 62 102 104 120 122	-1543186474260
SPT(16)	2569858958604163609	0 34 52 84 130 148 162 172 210 220 234 252 298 330 348 382	-1420521586240
SPT(16)	2569859011182705793	0 4 90 144 148 204 238 276 298 336 370 426 430 484 570 574	-1367943044056
SPT(16)	2569859131103324233	0 70 88 108 120 136 160 180 244 264 288 304 316 336 354 424	-1248022425616
STPT(10)	2569859823731541161	0 2 6 8 18 20 30 32 36 38	-555394208688
SPT(16)	2569860417519665287	0 6 12 34 76 154 174 184 222 232 252 330 372 394 400 406	38393915438
SPT(16)	2569860669531062951	0 2 30 36 72 140 156 182 186 212 228 296 332 338 366 368	290405313102
STPT(10)	2569861163478750257	0 2 30 32 42 44 54 56 84 86	784353000408
SPT(16)	2569861185906409267	0 36 54 90 96 166 222 234 262 274 330 400 406 442 460 496	806780659418
TPT(14)	2569861203125976449	0 2 42 44 60 62 228 230 258 260 282 284 390 392	824000226600