Prime p₀= 2677264748978436557 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 16 2 46 2 82 2 46 2 28 2 (?)
a_n: 0 2 24 26 42 44 90 92 174 176 222 224 252 254
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: 254
Found by: JayPi
db: batch=82, k=14, 22 16 46 82 46 28

STPT(10)	2677263133329928019	0 2 30 32 60 62 90 92 120 122	-1615648508538
SPT(16)	2677263902240584883	0 20 24 50 74 146 206 246 314 354 414 486 510 536 540 560	-846737851674
SPT(16)	2677263961320840559	0 22 30 40 52 72 84 90 142 148 160 180 192 202 210 232	-787657595998
SPT(16)	2677264107830801273	0 26 36 74 114 120 200 240 290 330 410 416 456 494 504 530	-641147635284
STPT(12)	2677264167721563059	0 2 48 50 78 80 180 182 210 212 258 260	-581256873498
SPT(16)	2677264195779034391	0 38 60 90 140 222 258 290 330 362 398 480 530 560 582 620	-553199402166
SPT(16)	2677264894178801357	0 30 44 72 84 96 104 140 186 222 230 242 254 282 296 326	145200364800
SPT(16)	2677264946098128641	0 6 8 48 80 90 138 170 258 290 338 348 380 420 422 428	197119692084
SPT(16)	2677265375268752603	0 24 26 80 104 114 126 174 290 338 350 360 384 438 440 464	626290316046
SPT(16)	2677265381496676871	0 42 66 68 98 102 116 182 186 252 266 270 300 302 326 368	632518240314
STPT(10)	2677265474005479569	0 2 18 20 60 62 102 104 120 122	725027043012