Prime p₀= 2569975309526659247 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 76 2 100 2 16 2 10 2 64 2 (?)
a_n: 0 2 54 56 132 134 234 236 252 254 264 266 330 332
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: 332
Found by: RFGuy_KCCO
db: batch=82, k=14, 52 76 100 16 10 64

STPT(10)	2569973615709950081	0 2 30 32 78 80 126 128 156 158	-1693816709166
STPT(10)	2569973700175870871	0 2 36 38 78 80 120 122 156 158	-1609350788376
SPT(18)	2569974186929723411	0 18 90 92 140 162 248 252 258 260 266 270 356 378 426 428 500 518	-1122596935836
SPT(16)	2569974795706379807	0 26 30 104 114 146 174 180 230 236 264 296 306 380 384 410	-513820279440
SPT(16)	2569975056972676471	0 28 42 46 96 112 130 132 136 138 156 172 222 226 240 268	-252553982776
SPT(16)	2569975100921828407	0 40 64 82 100 106 132 142 174 184 210 216 234 252 276 316	-208604830840
TPT(14)	2569975730753629769	0 2 30 32 42 44 72 74 102 104 132 134 138 140	421226970522
SPT(16)	2569975752682455581	0 6 78 102 146 158 170 198 260 288 300 312 356 380 452 458	443155796334
STPT(10)	2569975778190682187	0 2 30 32 42 44 54 56 84 86	468664022940
STPT(10)	2569975830571716641	0 2 6 8 48 50 90 92 96 98	521045057394
SPT(16)	2569976066795441011	0 10 36 112 148 156 166 192 196 222 232 240 276 352 378 388	757268781764