Prime p₀= 2002382794787087849 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 106 2 22 2 208 2 16 2 40 2 16 2 (?)
a_n: 0 2 108 110 132 134 342 344 360 362 402 404 420 422
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: 422
Found by: Landjunge
db: batch=80, k=14, 106 22 208 16 40 16

STPT(10)	2002381332233131019	0 2 18 20 30 32 42 44 60 62	-1462553956830
SPT(16)	2002381369101738871	0 30 46 58 72 88 96 112 306 322 330 346 360 372 388 418	-1425685348978
TPT(16)	2002381813870094117	0 2 30 32 180 182 222 224 240 242 270 272 282 284 312 314	-980916993732
SPT(16)	2002382127692567219	0 8 54 78 132 134 144 162 200 218 228 230 284 308 354 362	-667094520630
TPT(14)	2002382638608447671	0 2 30 32 78 80 90 92 120 122 156 158 198 200	-156178640178
STPT(10)	2002382773244328659	0 2 18 20 30 32 42 44 60 62	-21542759190
STPT(10)	2002383260071460447	0 2 24 26 42 44 60 62 84 86	465284372598
TPT(14)	2002383267137164409	0 2 12 14 120 122 168 170 198 200 222 224 330 332	472350076560
SPT(16)	2002383603205186931	0 6 30 32 60 72 90 132 170 212 230 242 270 272 296 302	808418099082
SPT(16)	2002383898107366271	0 10 28 36 60 72 78 112 186 220 226 238 262 270 288 298	1103320278422
SPT(16)	2002383995605348123	0 10 46 66 90 108 150 208 228 286 328 346 370 390 426 436	1200818260274