Prime p₀= 786171108461344181 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

TPT(14)	786169711970469611	0 2 36 38 78 80 96 98 156 158 168 170 180 182	-1396490874570
STPT(10)	786169868307044201	0 2 36 38 78 80 120 122 156 158	-1240154299980
SPT(16)	786169931466694847	0 36 80 120 134 156 164 204 206 246 254 276 290 330 374 410	-1176994649334
SPT(16)	786170006992422337	0 52 64 84 94 96 124 126 130 132 160 162 172 192 204 256	-1101468921844
SPT(16)	786170322272508883	0 6 34 36 64 114 154 166 234 246 286 336 364 366 394 400	-786188835298
SPT(16)	786171065128750913	0 14 30 54 56 66 78 98 276 296 308 318 320 344 360 374	-43332593268
SPT(16)	786171464301185689	0 28 58 60 88 102 112 124 198 210 220 234 262 264 294 322	355839841508
TPT(14)	786171791556686417	0 2 42 44 54 56 84 86 114 116 120 122 150 152	683095342236
STPT(10)	786171803968306571	0 2 6 8 48 50 90 92 96 98	695506962390
SPT(16)	786172378066738183	0 24 34 154 166 174 184 210 274 300 310 318 330 450 460 484	1269605394002
SPT(16)	786172617626032379	0 2 92 114 198 210 212 224 228 240 242 254 338 360 450 452	1509164688198