Prime p₀= 2301725651052465719 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 88 2 28 2 46 2 226 2 10 2 (?)
a_n: 0 2 12 14 102 104 132 134 180 182 408 410 420 422
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: 422
Found by: arkiss
db: batch=81, k=14, 10 88 28 46 226 10

SPT(13)	2301723373034277523	0 30 48 78 90 114 144 174 198 210 240 258 288	-2278018188196
STPT(10)	2301723414833881637	0 2 30 32 42 44 54 56 84 86	-2236218584082
STPT(10)	2301723540242843417	0 2 30 32 42 44 54 56 84 86	-2110809622302
STPT(10)	2301723746225364047	0 2 30 32 72 74 114 116 144 146	-1904827101672
SPT(16)	2301723779632821289	0 30 54 78 82 114 142 144 208 210 238 270 274 298 322 352	-1871419644430
SPT(16)	2301725237849510677	0 12 64 70 102 142 156 180 196 220 234 274 306 312 364 376	-413202955042
SPT(16)	2301726353519391551	0 30 90 102 110 180 200 216 236 252 272 342 350 362 422 452	702466925832
SPT(16)	2301726357561700943	0 14 30 60 74 86 98 108 146 156 168 180 194 224 240 254	706509235224
SPT(16)	2301726765858409991	0 56 98 110 132 150 168 188 210 230 248 266 288 300 342 398	1114805944272
SPT(16)	2301726940215586607	0 6 20 54 140 152 174 176 180 182 204 216 302 336 350 356	1289163120888
TPT(14)	2301726980682766319	0 2 12 14 18 20 48 50 60 62 138 140 180 182	1329630300600