Prime p₀= 966518717197452437 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 88 2 40 2 34 2 40 2 88 2 (?)
a_n: 0 2 42 44 132 134 174 176 210 212 252 254 342 344
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: 344
Found by: stoneageman
db: batch=76, k=14, 40 88 40 34 40 88

SPT(16)	966516813309358403	0 26 30 66 108 126 156 170 234 248 278 296 338 374 378 404	-1903888094034
SPT(16)	966517163754782147	0 30 44 74 126 132 140 144 212 216 224 230 282 312 326 356	-1553442670290
SPT(16)	966517485052963621	0 18 30 42 46 70 112 126 142 156 198 222 226 238 250 268	-1232144488816
SPT(16)	966517976657747939	0 18 74 84 98 138 140 174 284 318 320 360 374 384 440 458	-740539704498
STPT(10)	966518021436743021	0 2 78 80 138 140 198 200 276 278	-695760709416
SPT(16)	966518656133058167	0 6 20 24 42 72 122 152 354 384 434 464 482 486 500 506	-61064394270
STPT(12)	966518717197452479	0 2 90 92 132 134 168 170 210 212 300 302	42
STPT(10)	966518766958028951	0 2 6 8 18 20 30 32 36 38	49760576514
SPT(16)	966518938318501289	0 38 42 44 50 74 98 120 122 144 168 192 198 200 204 242	221121048852
TPT(14)	966518955181369559	0 2 30 32 48 50 72 74 90 92 132 134 168 170	237983917122
STPT(10)	966519196432304699	0 2 18 20 30 32 42 44 60 62	479234852262