Prime p₀= 2157109407009593417 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 82 2 34 2 70 2 16 2 22 2 64 2 (?)
a_n: 0 2 84 86 120 122 192 194 210 212 234 236 300 302
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: 302
Found by: [SG-2W]Kurzer
db: batch=81, k=14, 82 34 70 16 22 64

STPT(10)	2157108668506894799	0 2 12 14 90 92 168 170 180 182	-738502698618
SPT(16)	2157108735879525247	0 66 72 120 136 172 256 276 310 330 414 450 466 514 520 586	-671130068170
STPT(10)	2157108958757188991	0 2 36 38 78 80 120 122 156 158	-448252404426
SPT(16)	2157108959628009019	0 72 94 114 124 138 150 198 244 292 304 318 328 348 370 442	-447381584398
STPT(10)	2157109140021556541	0 2 6 8 18 20 30 32 36 38	-266988036876
SPT(16)	2157109377096880693	0 64 78 90 138 148 154 160 204 210 216 226 274 286 300 364	-29912712724
STPT(10)	2157109911486177587	0 2 30 32 60 62 90 92 120 122	504476584170
STPT(10)	2157109930924672979	0 2 12 14 90 92 168 170 180 182	523915079562
SPT(16)	2157110484813527107	0 42 46 82 100 102 142 166 186 210 250 252 270 306 310 352	1077803933690
STPT(10)	2157110765681664827	0 2 60 62 72 74 84 86 144 146	1358672071410
TPT(14)	2157111163249224977	0 2 12 14 42 44 54 56 144 146 174 176 222 224	1756239631560