Prime p₀= 2605945964515395107 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 220 2 16 2 22 2 4 2 28 2 118 2 (?)
a_n: 0 2 222 224 240 242 264 266 270 272 300 302 420 422
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: 422
Found by: SEARCHER
db: batch=82, k=14, 220 16 22 4 28 118

STPT(10)	2605943220702341087	0 2 12 14 42 44 72 74 84 86	-2743813054020
SPT(16)	2605943592076697767	0 24 70 72 94 126 156 192 214 250 280 312 334 336 382 406	-2372438697340
SPT(16)	2605943695551716309	0 48 80 122 128 170 188 192 230 234 252 294 300 342 374 422	-2268963678798
SPT(16)	2605944102467751949	0 18 22 60 72 138 148 150 352 354 364 430 442 480 484 502	-1862047643158
STPT(10)	2605944469949819627	0 2 30 32 72 74 114 116 144 146	-1494565575480
SPT(16)	2605944798655810421	0 32 42 110 116 120 150 182 186 218 248 252 258 326 336 368	-1165859584686
STPT(10)	2605946108689773539	0 2 18 20 30 32 42 44 60 62	144174378432
STPT(10)	2605946521246606001	0 2 36 38 78 80 120 122 156 158	556731210894
STPT(10)	2605946559889089017	0 2 12 14 42 44 72 74 84 86	595373693910
TPT(14)	2605946750056339979	0 2 48 50 78 80 90 92 120 122 168 170 198 200	785540944872
STPT(12)	2605946750056339979	0 2 48 50 78 80 90 92 120 122 168 170	785540944872