Prime p₀= 786169868307044201 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: Egon olsen
db: batch=73, k=10, 2 34 2 40 2

SPT(16)	786168699057984859	0 4 78 102 178 180 190 234 268 312 322 324 400 424 498 502	-1169249059342
SPT(16)	786168731218094243	0 6 56 68 90 108 120 126 188 194 206 224 246 258 308 314	-1137088949958
SPT(16)	786168874795417987	0 12 16 24 40 54 70 84 112 126 142 156 172 180 184 196	-993511626214
STPT(10)	786168959106201467	0 2 24 26 42 44 60 62 84 86	-909200842734
STPT(10)	786169488406871417	0 2 30 32 60 62 90 92 120 122	-379900172784
TPT(14)	786169711970469611	0 2 36 38 78 80 96 98 156 158 168 170 180 182	-156336574590
SPT(16)	786169931466694847	0 36 80 120 134 156 164 204 206 246 254 276 290 330 374 410	63159650646
SPT(16)	786170006992422337	0 52 64 84 94 96 124 126 130 132 160 162 172 192 204 256	138685378136
SPT(16)	786170322272508883	0 6 34 36 64 114 154 166 234 246 286 336 364 366 394 400	453965464682
SPT(16)	786171065128750913	0 14 30 54 56 66 78 98 276 296 308 318 320 344 360 374	1196821706712
STPT(10)	786171108461344181	0 2 36 38 78 80 120 122 156 158	1240154299980