Prime p₀= 956868347560084649 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 62
Found by: stoneageman
db: batch=76, k=10, 2 16 2 10 2

SPT(16)	956866883256389431	0 28 40 78 102 106 112 162 166 216 222 226 250 288 300 328	-1464303695218
SPT(16)	956866946785597091	0 6 26 30 38 66 96 138 158 200 230 258 266 270 290 296	-1400774487558
SPT(16)	956866978605323869	0 18 52 54 88 90 118 130 132 144 172 174 208 210 244 262	-1368954760780
TPT(14)	956867443689987119	0 2 42 44 132 134 138 140 180 182 210 212 288 290	-903870097530
STPT(10)	956868052806617867	0 2 24 26 42 44 60 62 84 86	-294753466782
STPT(10)	956868262305549017	0 2 54 56 72 74 90 92 144 146	-85254535632
SPT(16)	956868699986914619	0 32 78 90 120 128 168 182 318 332 372 380 410 422 468 500	352426829970
SPT(16)	956868933712299193	0 60 66 70 78 84 88 108 166 186 190 196 204 208 214 274	586152214544
STPT(10)	956869125162615989	0 2 18 20 60 62 102 104 120 122	777602531340
STPT(10)	956869226951417807	0 2 24 26 42 44 60 62 84 86	879391333158
SPT(16)	956869444634295019	0 34 42 64 90 102 144 148 174 178 220 232 258 280 288 322	1097074210370