Prime p₀= 2722287246129911897 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 82 2 46 2 46 2 40 2 190 2 28 2 (?)
a_n: 0 2 84 86 132 134 180 182 222 224 414 416 444 446
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: 446
Found by: Time_Traveler
db: batch=82, k=14, 82 46 46 40 190 28

STPT(10)	2722285262913512111	0 2 6 8 48 50 90 92 96 98	-1983216399786
STPT(10)	2722285381215314207	0 2 42 44 72 74 102 104 144 146	-1864914597690
TPT(14)	2722285503653961491	0 2 30 32 96 98 138 140 156 158 180 182 240 242	-1742475950406
SPT(16)	2722285584022270531	0 30 40 70 102 180 222 238 240 256 298 376 408 438 448 478	-1662107641366
STPT(10)	2722285729485066359	0 2 18 20 30 32 42 44 60 62	-1516644845538
SPT(16)	2722287020629410671	0 12 50 62 78 86 90 92 216 218 222 230 246 258 296 308	-225500501226
SPT(16)	2722287488934433967	0 26 30 42 114 122 152 162 254 264 294 302 374 386 390 416	242804522070
STPT(10)	2722287593155141397	0 2 12 14 42 44 72 74 84 86	347025229500
TPT(14)	2722288055363892131	0 2 6 8 18 20 96 98 156 158 198 200 306 308	809233980234
SPT(16)	2722288778595616067	0 12 90 96 104 180 192 236 300 344 356 432 440 446 524 536	1532465704170
SPT(16)	2722288854459399161	0 60 68 102 110 146 150 156 182 188 192 228 236 270 278 338	1608329487264