Prime p₀= 2763320602317823901 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 220 2 154 2 70 2 10 2 4 2 (?)
a_n: 0 2 78 80 300 302 456 458 528 530 540 542 546 548
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: 548
Found by: JayPi
db: batch=82, k=14, 76 220 154 70 10 4

SPT(16)	2763318620377975697	0 30 36 42 50 92 116 182 204 270 294 336 344 350 356 386	-1981939848204
SPT(16)	2763319143904820573	0 14 24 78 114 120 128 146 228 246 254 260 296 350 360 374	-1458413003328
SPT(16)	2763319414880866591	0 16 18 46 66 88 142 148 150 156 210 232 252 280 282 298	-1187436957310
TPT(14)	2763319438131819899	0 2 138 140 192 194 288 290 330 332 360 362 378 380	-1164186004002
STPT(10)	2763319579625173937	0 2 30 32 42 44 54 56 84 86	-1022692649964
SPT(16)	2763319940695947977	0 42 44 60 86 102 134 156 170 192 224 240 266 282 284 326	-661621875924
STPT(10)	2763320608959309557	0 2 30 32 72 74 114 116 144 146	6641485656
SPT(16)	2763320653091064317	0 30 32 86 102 116 132 144 212 224 240 254 270 324 326 356	50773240416
SPT(16)	2763321161059191617	0 20 24 132 134 206 260 264 302 306 360 432 434 542 546 566	558741367716
SPT(16)	2763321195985416529	0 4 40 52 78 94 162 172 270 280 348 364 390 402 438 442	593667592628
SPT(16)	2763321401172713861	0 8 30 68 72 78 120 140 198 218 260 266 270 308 330 338	798854889960