Prime p₀= 2479769484292338911 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 178 2 64 2 118 2 22 2 16 2 130 2 (?)
a_n: 0 2 180 182 246 248 366 368 390 392 408 410 540 542
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: 542
Found by: [B^S]ABoskovich
db: batch=82, k=14, 178 64 118 22 16 130

SPT(13)	2479767276808192907	0 30 72 90 96 120 126 132 156 162 180 222 252	-2207484146004
STPT(10)	2479767331521445781	0 2 6 8 48 50 90 92 96 98	-2152770893130
SPT(18)	2479767454747173491	0 20 36 62 66 90 102 110 162 206 258 266 278 302 306 332 348 368	-2029545165420
STPT(10)	2479767513320945201	0 2 6 8 48 50 90 92 96 98	-1970971393710
SPT(16)	2479768493528787311	0 6 8 12 42 56 138 152 156 170 252 266 296 300 302 308	-990763551600
SPT(16)	2479769353928149951	0 72 100 120 150 162 258 276 292 310 406 418 448 468 496 568	-130364188960
STPT(10)	2479769646380184407	0 2 12 14 42 44 72 74 84 86	162087845496
SPT(16)	2479769823504972337	0 66 84 94 96 124 166 196 234 264 306 334 336 346 364 430	339212633426
STPT(10)	2479769964893397257	0 2 12 14 72 74 132 134 144 146	480601058346
SPT(16)	2479770376225959917	0 6 14 20 24 60 66 72 74 80 86 122 126 132 140 146	891933621006
STPT(10)	2479770404227936871	0 2 6 8 18 20 30 32 36 38	919935597960