Prime p₀= 2577539930185881719 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 28 2 10 2 10 2 136 2 16 2 (?)
a_n: 0 2 48 50 78 80 90 92 102 104 240 242 258 260
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: 260
Found by: [SG-2W]Kurzer
db: batch=82, k=14, 46 28 10 10 136 16

SPT(16)	2577539235699213673	0 10 18 28 54 88 94 114 250 270 276 310 336 346 354 364	-694486668046
SPT(16)	2577539294465756227	0 12 84 90 94 150 172 204 220 252 274 330 334 340 412 424	-635720125492
TPT(14)	2577539665353824291	0 2 156 158 168 170 180 182 330 332 420 422 456 458	-264832057428
SPT(16)	2577539707720823371	0 36 40 52 70 96 166 172 246 252 322 348 366 378 382 418	-222465058348
SPT(16)	2577539774237721707	0 14 24 50 56 60 134 150 170 186 260 264 270 296 306 320	-155948160012
STPT(10)	2577539778505338089	0 2 18 20 60 62 102 104 120 122	-151680543630
SPT(16)	2577540207102925957	0 34 96 154 156 166 180 184 282 286 300 310 312 370 432 466	276917044238
TPT(14)	2577540458800165097	0 2 24 26 150 152 180 182 222 224 252 254 420 422	528614283378
STPT(12)	2577540534706046249	0 2 60 62 90 92 138 140 168 170 228 230	604520164530
TPT(14)	2577542314862571071	0 2 36 38 78 80 96 98 246 248 318 320 378 380	2384676689352
SPT(16)	2577542440763762497	0 12 16 46 54 82 90 126 130 166 174 202 210 240 244 256	2510577880778