Prime p₀= 2016384436993108967 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 4 2 178 2 10 2 10 2 16 2 (?)
a_n: 0 2 24 26 30 32 210 212 222 224 234 236 252 254
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: LeChat51X
db: batch=80, k=14, 22 4 178 10 10 16

SPT(16)	2016382041740975747	0 14 44 60 62 66 72 102 194 224 230 234 236 252 282 296	-2395252133220
STPT(10)	2016382400492740517	0 2 30 32 42 44 54 56 84 86	-2036500368450
SPT(18)	2016383244733096181	0 8 38 50 90 96 122 126 176 222 272 276 302 308 348 360 390 398	-1192260012786
STPT(10)	2016384228802163081	0 2 36 38 78 80 120 122 156 158	-208190945886
SPT(16)	2016384318445446893	0 30 60 126 144 146 150 170 270 290 294 296 314 380 410 440	-118547662074
SPT(16)	2016384354093937889	0 18 50 84 138 158 242 252 260 270 354 374 428 462 494 512	-82899171078
SPT(16)	2016385046801138999	0 60 128 164 168 228 242 284 318 360 374 434 438 474 542 602	609808030032
TPT(14)	2016385208021081801	0 2 36 38 78 80 126 128 138 140 156 158 180 182	771027972834
SPT(16)	2016385278500887909	0 52 70 90 108 192 220 292 348 420 448 532 550 570 588 640	841507778942
SPT(16)	2016385415446726187	0 24 42 50 56 140 194 204 212 222 276 360 366 374 392 416	978453617220
STPT(10)	2016386028149140787	0 2 60 62 72 74 84 86 144 146	1591156031820