Prime p₀= 956867443689987119 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 88 2 4 2 40 2 28 2 76 2 (?)
a_n: 0 2 42 44 132 134 138 140 180 182 210 212 288 290
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: 290
Found by: suriv
db: batch=76, k=14, 40 88 4 40 28 76

STPT(10)	956866515586651037	0 2 30 32 42 44 54 56 84 86	-928103336082
STPT(10)	956866732600418441	0 2 6 8 48 50 90 92 96 98	-711089568678
STPT(10)	956866838237224667	0 2 30 32 42 44 54 56 84 86	-605452762452
SPT(16)	956866883256389431	0 28 40 78 102 106 112 162 166 216 222 226 250 288 300 328	-560433597688
SPT(16)	956866946785597091	0 6 26 30 38 66 96 138 158 200 230 258 266 270 290 296	-496904390028
SPT(16)	956866978605323869	0 18 52 54 88 90 118 130 132 144 172 174 208 210 244 262	-465084663250
STPT(10)	956868052806617867	0 2 24 26 42 44 60 62 84 86	609116630748
STPT(10)	956868262305549017	0 2 54 56 72 74 90 92 144 146	818615561898
STPT(10)	956868347560084649	0 2 18 20 30 32 42 44 60 62	903870097530
SPT(16)	956868699986914619	0 32 78 90 120 128 168 182 318 332 372 380 410 422 468 500	1256296927500
SPT(16)	956868933712299193	0 60 66 70 78 84 88 108 166 186 190 196 204 208 214 274	1490022312074