Prime p₀= 1727758368364031657 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 10 2 16 2 220 2 76 2 46 2 (?)
a_n: 0 2 12 14 24 26 42 44 264 266 342 344 390 392
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: 392
Found by: CoolAtchOk
db: batch=79, k=14, 10 10 16 220 76 46

STPT(10)	1727757643583126339	0 2 18 20 30 32 42 44 60 62	-724780905318
SPT(20)	1727757825302694139	0 10 40 52 84 94 108 118 162 204 208 250 294 304 318 328 360 372 402 412	-543061337518
TPT(14)	1727757878366024801	0 2 36 38 48 50 60 62 156 158 216 218 228 230	-489998006856
STPT(10)	1727757910127457587	0 2 30 32 42 44 54 56 84 86	-458236574070
STPT(10)	1727757955938495317	0 2 12 14 72 74 132 134 144 146	-412425536340
SPT(16)	1727758328575899509	0 8 74 80 200 218 224 282 290 348 354 372 492 498 564 572	-39788132148
SPT(16)	1727758664508162229	0 10 30 42 54 72 100 108 184 192 220 238 250 262 282 292	296144130572
SPT(16)	1727758881226798909	0 40 52 54 102 112 114 130 222 238 240 250 298 300 312 352	512862767252
SPT(16)	1727759023393565783	0 38 66 90 150 210 216 234 260 278 284 344 404 428 456 494	655029534126
STPT(10)	1727759295880354727	0 2 42 44 72 74 102 104 144 146	927516323070
STPT(10)	1727759352125037059	0 2 48 50 90 92 132 134 180 182	983761005402