Prime p₀= 2592667150397003129 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 220 2 10 2 28 2 106 2 16 2 (?)
a_n: 0 2 48 50 270 272 282 284 312 314 420 422 438 440
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: 440
Found by: RFGuy_KCCO
db: batch=82, k=14, 46 220 10 28 106 16

TPT(14)	2592665647575282479	0 2 30 32 90 92 228 230 300 302 312 314 378 380	-1502821720650
STPT(10)	2592665951712855059	0 2 18 20 30 32 42 44 60 62	-1198684148070
SPT(16)	2592666001830352187	0 20 56 84 90 146 174 260 270 356 384 440 446 474 510 530	-1148566650942
STPT(10)	2592666492197979551	0 2 6 8 48 50 90 92 96 98	-658199023578
SPT(16)	2592666644291855111	0 8 80 162 182 192 212 248 252 288 308 318 338 420 492 500	-506105148018
STPT(10)	2592666725257574261	0 2 6 8 18 20 30 32 36 38	-425139428868
SPT(16)	2592667394766678211	0 22 28 72 108 112 138 142 258 262 288 292 328 372 378 400	244369675082
STPT(10)	2592667447227632387	0 2 30 32 42 44 54 56 84 86	296830629258
SPT(16)	2592667486154835989	0 20 54 92 132 138 162 168 224 230 254 260 300 338 372 392	335757832860
SPT(16)	2592667558266218033	0 24 56 80 104 170 200 216 248 264 294 360 384 408 440 464	407869214904
SPT(16)	2592667913414584309	0 10 58 82 90 124 142 184 258 300 318 352 360 384 432 442	763017581180