Prime p₀= 786168959106201467 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: Egon olsen
db: batch=73, k=10, 2 22 2 16 2

STPT(10)	786168100249102391	0 2 6 8 18 20 30 32 36 38	-858857099076
SPT(16)	786168233962351549	0 4 12 30 72 82 102 130 162 190 210 220 262 280 288 292	-725143849918
TPT(14)	786168284489439011	0 2 30 32 108 110 138 140 156 158 240 242 270 272	-674616762456
SPT(16)	786168699057984859	0 4 78 102 178 180 190 234 268 312 322 324 400 424 498 502	-260048216608
SPT(16)	786168731218094243	0 6 56 68 90 108 120 126 188 194 206 224 246 258 308 314	-227888107224
SPT(16)	786168874795417987	0 12 16 24 40 54 70 84 112 126 142 156 172 180 184 196	-84310783480
STPT(10)	786169488406871417	0 2 30 32 60 62 90 92 120 122	529300669950
TPT(14)	786169711970469611	0 2 36 38 78 80 96 98 156 158 168 170 180 182	752864268144
STPT(10)	786169868307044201	0 2 36 38 78 80 120 122 156 158	909200842734
SPT(16)	786169931466694847	0 36 80 120 134 156 164 204 206 246 254 276 290 330 374 410	972360493380
SPT(16)	786170006992422337	0 52 64 84 94 96 124 126 130 132 160 162 172 192 204 256	1047886220870