Prime p₀= 2397312757638017621 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 40 2 88 2 10 2 28 2 166 2 (?)
a_n: 0 2 6 8 48 50 138 140 150 152 180 182 348 350
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: 350
Found by: [SG-2W]Kurzer
db: batch=81, k=14, 4 40 88 10 28 166

STPT(10)	2397311094663948899	0 2 18 20 60 62 102 104 120 122	-1662974068722
STPT(12)	2397311922251670269	0 2 30 32 42 44 60 62 72 74 102 104	-835386347352
SPT(16)	2397312313961331773	0 6 26 54 66 90 138 164 240 266 314 338 350 378 398 404	-443676685848
SPT(16)	2397312339518802361	0 10 28 36 90 120 126 138 148 160 166 196 250 258 276 286	-418119215260
SPT(16)	2397312437977300981	0 18 30 46 70 100 102 126 142 166 168 198 222 238 250 268	-319660716640
SPT(16)	2397312463819527739	0 28 30 64 88 90 102 130 132 160 172 174 198 232 234 262	-293818489882
SPT(16)	2397312810552538783	0 24 46 76 106 136 150 190 300 340 354 384 414 444 466 490	52914521162
STPT(10)	2397312854400967337	0 2 72 74 102 104 132 134 204 206	96762949716
STPT(10)	2397313097396950427	0 2 30 32 60 62 90 92 120 122	339758932806
SPT(16)	2397313277053545533	0 18 36 68 90 158 180 200 204 224 246 314 336 368 386 404	519415527912
SPT(16)	2397313304301238067	0 26 62 90 92 104 110 162 194 246 252 264 266 294 330 356	546663220446