Prime p₀= 2576960025630184631 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 130 2 40 2 166 2 10 2 16 2 (?)
a_n: 0 2 6 8 138 140 180 182 348 350 360 362 378 380
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: 380
Found by: JayPi
db: batch=82, k=14, 4 130 40 166 10 16

SPT(16)	2576958785217841559	0 12 38 54 68 78 80 104 168 192 194 204 218 234 260 272	-1240412343072
STPT(10)	2576959040011103729	0 2 42 44 60 62 78 80 120 122	-985619080902
STPT(10)	2576959105862633909	0 2 18 20 30 32 42 44 60 62	-919767550722
STPT(10)	2576959336171268999	0 2 18 20 30 32 42 44 60 62	-689458915632
STPT(10)	2576959613266563797	0 2 30 32 42 44 54 56 84 86	-412363620834
STPT(10)	2576959949436692681	0 2 36 38 78 80 120 122 156 158	-76193491950
STPT(10)	2576960139046603337	0 2 30 32 42 44 54 56 84 86	113416418706
SPT(16)	2576960187833542691	0 32 48 102 138 152 206 248 420 462 516 530 566 620 636 668	162203358060
SPT(16)	2576960242385746597	0 66 70 90 160 172 210 216 256 262 300 312 382 402 406 472	216755561966
SPT(16)	2576960343022430411	0 8 62 78 90 140 156 198 200 242 258 308 320 336 390 398	317392245780
SPT(16)	2576960855736608743	0 6 64 84 90 114 150 154 246 250 286 310 316 336 394 400	830106424112