Prime p₀= 2378566429664676479 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 178 2 196 2 10 2 46 2 70 2 10 2 (?)
a_n: 0 2 180 182 378 380 390 392 438 440 510 512 522 524
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: 524
Found by: [AF>Amis des Lapins] Fredjke
db: batch=81, k=14, 178 196 10 46 70 10

TPT(14)	2378564729760006629	0 2 30 32 48 50 210 212 228 230 240 242 282 284	-1699904669850
SPT(16)	2378564946866650537	0 6 114 142 154 204 256 274 282 300 352 402 414 442 550 556	-1482798025942
STPT(10)	2378565404972852267	0 2 42 44 72 74 102 104 144 146	-1024691824212
TPT(14)	2378565678257840009	0 2 72 74 78 80 162 164 168 170 198 200 210 212	-751406836470
SPT(16)	2378565717990035491	0 12 126 168 172 180 196 198 280 282 298 306 310 352 466 478	-711674640988
STPT(10)	2378566073240918831	0 2 6 8 48 50 90 92 96 98	-356423757648
SPT(13)	2378566765688789293	0 36 48 60 66 150 168 186 270 276 288 300 336	336024112814
SPT(16)	2378566903499371867	0 34 42 46 64 90 94 210 406 522 526 552 570 574 582 616	473834695388
STPT(10)	2378566972920558767	0 2 12 14 42 44 72 74 84 86	543255882288
SPT(16)	2378567193576752267	0 14 20 60 102 104 134 152 174 192 222 224 266 306 312 326	763912075788
SPT(16)	2378567216205833753	0 24 44 104 126 158 168 176 198 206 216 248 270 330 350 374	786541157274