Prime p₀= 1246839735033047651 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 40 2 46 2 112 2 4 2 70 2 (?)
a_n: 0 2 66 68 108 110 156 158 270 272 276 278 348 350
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: Cruncher Pete
db: batch=77, k=14, 64 40 46 112 4 70

STPT(10)	1246838958659378177	0 2 30 32 60 62 90 92 120 122	-776373669474
TPT(14)	1246838981117736731	0 2 18 20 90 92 126 128 228 230 240 242 258 260	-753915310920
SPT(16)	1246839222235060633	0 18 76 144 148 166 168 196 258 286 288 306 310 378 436 454	-512797987018
SPT(16)	1246839337685034811	0 48 58 112 120 142 148 156 202 210 216 238 246 300 310 358	-397348012840
STPT(10)	1246839413931387737	0 2 24 26 42 44 60 62 84 86	-321101659914
SPT(16)	1246839467339837933	0 8 20 24 44 60 74 78 170 174 188 204 224 228 240 248	-267693209718
SPT(16)	1246839974245469039	0 14 30 38 60 80 98 168 200 270 288 308 330 338 354 368	239212421388
STPT(10)	1246840399155808151	0 2 30 32 60 62 90 92 120 122	664122760500
SPT(16)	1246840688318958973	0 4 18 34 64 94 108 144 160 196 210 240 270 286 300 304	953285911322
STPT(10)	1246840690238639729	0 2 48 50 60 62 72 74 120 122	955205592078
TPT(14)	1246841066884583699	0 2 12 14 90 92 168 170 180 182 222 224 300 302	1331851536048