Prime p₀= 2404695816608343821 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 94 2 112 2 34 2 28 2 52 2 4 2 (?)
a_n: 0 2 96 98 210 212 246 248 276 278 330 332 336 338
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: 338
Found by: [SG-FC] hl
db: batch=82, k=14, 94 112 34 28 52 4

SPT(16)	2404693768562146277	0 2 12 60 72 80 102 126 140 164 186 194 206 254 264 266	-2048046197544
SPT(16)	2404694102344402919	0 12 24 32 102 120 150 164 180 194 224 242 312 320 332 344	-1714263940902
STPT(10)	2404694545957649129	0 2 30 32 60 62 90 92 120 122	-1270650694692
SPT(16)	2404694714700749209	0 18 60 72 88 112 118 160 222 264 270 294 310 322 364 382	-1101907594612
SPT(16)	2404695150915080323	0 10 24 28 34 54 114 130 138 154 214 234 240 244 258 268	-665693263498
STPT(10)	2404695629456822459	0 2 18 20 30 32 42 44 60 62	-187151521362
SPT(16)	2404695951664721089	0 34 58 72 112 118 232 250 372 390 504 510 550 564 588 622	135056377268
SPT(16)	2404696356177131651	0 26 32 42 78 110 162 200 228 266 318 350 386 396 402 428	539568787830
SPT(16)	2404696478999082157	0 10 22 36 54 60 114 172 204 262 316 322 340 354 366 376	662390738336
STPT(10)	2404696911388062017	0 2 24 26 42 44 60 62 84 86	1094779718196
STPT(10)	2404697059671091721	0 2 6 8 48 50 90 92 96 98	1243062747900