Prime p₀= 2252468903950555319 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 28 2 124 2 118 2 70 2 40 2 (?)
a_n: 0 2 42 44 72 74 198 200 318 320 390 392 432 434
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: 434
Found by: Orange Kid
db: batch=81, k=14, 40 28 124 118 70 40

SPT(16)	2252466427184375771	0 32 42 62 80 90 102 108 200 206 218 228 246 266 276 308	-2476766179548
TPT(14)	2252466447563771051	0 2 6 8 30 32 60 62 90 92 138 140 156 158	-2456386784268
SPT(16)	2252466942672939677	0 12 26 32 42 84 110 116 150 156 182 224 234 240 254 266	-1961277615642
SPT(16)	2252467063354676551	0 6 12 18 28 88 102 126 292 316 330 390 400 406 412 418	-1840595878768
STPT(10)	2252468410273944671	0 2 6 8 48 50 90 92 96 98	-493676610648
SPT(16)	2252468506353286103	0 26 54 60 78 126 180 218 336 374 428 476 494 500 528 554	-397597269216
STPT(10)	2252468959208122397	0 2 30 32 42 44 54 56 84 86	55257567078
STPT(10)	2252469418856143187	0 2 30 32 42 44 54 56 84 86	514905587868
STPT(10)	2252469618613733327	0 2 30 32 42 44 54 56 84 86	714663178008
SPT(16)	2252469685129894567	0 54 72 82 94 106 120 124 252 256 270 282 294 304 322 376	781179339248
STPT(10)	2252469779864290499	0 2 42 44 60 62 78 80 120 122	875913735180