Prime p₀= 2577883787924967701 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 154 2 100 2 88 2 16 2 22 2 124 2 (?)
a_n: 0 2 156 158 258 260 348 350 366 368 390 392 516 518
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: 518
Found by: RFGuy_KCCO
db: batch=82, k=14, 154 100 88 16 22 124

SPT(16)	2577882951460727683	0 36 40 70 108 114 138 148 156 166 190 196 234 264 268 304	-836464240018
TPT(14)	2577883286765741387	0 2 24 26 30 32 54 56 102 104 114 116 144 146	-501159226314
SPT(16)	2577883645048804559	0 18 32 98 132 140 150 164 228 242 252 260 294 360 374 392	-142876163142
SPT(16)	2577883683832073863	0 24 78 88 100 108 114 124 210 220 226 234 246 256 310 334	-104092893838
SPT(20)	2577883760686599899	0 14 42 48 80 114 128 188 198 204 218 224 234 294 308 342 374 380 408 422	-27238367802
SPT(16)	2577883766781532621	0 18 70 90 96 126 166 168 178 180 220 250 256 276 328 346	-21143435080
STPT(10)	2577884050616976989	0 2 18 20 30 32 42 44 60 62	262692009288
SPT(16)	2577884147893676827	0 72 142 184 210 214 240 252 262 274 300 304 330 372 442 514	359968709126
SPT(16)	2577884433673014409	0 48 54 88 94 138 198 228 250 280 340 384 390 424 430 478	645748046708
SPT(18)	2577884507573248703	0 8 20 26 44 86 96 110 128 306 324 338 348 390 408 414 426 434	719648281002
SPT(16)	2577884692348978097	0 72 92 116 152 192 194 204 242 252 254 294 330 354 374 446	904424010396