Prime p₀= 815347043922713129 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: matali
db: batch=73, k=10, 2 40 2 16 2

SPT(16)	815346248335580431	0 22 42 100 112 156 162 172 210 220 226 270 282 340 360 382	-795587132698
SPT(16)	815346439180871111	0 8 26 48 62 66 68 92 126 150 152 156 170 192 210 218	-604741842018
SPT(16)	815346512439477899	0 48 108 110 200 228 240 264 284 308 320 348 438 440 500 548	-531483235230
SPT(16)	815346522344393713	0 36 64 90 108 148 168 174 190 196 216 256 274 300 328 364	-521578319416
STPT(10)	815346664241285117	0 2 30 32 42 44 54 56 84 86	-379681428012
STPT(10)	815346665019420137	0 2 42 44 102 104 162 164 204 206	-378903292992
STPT(10)	815347058717644301	0 2 30 32 60 62 90 92 120 122	14794931172
SPT(16)	815347169640279091	0 12 90 96 132 166 180 210 238 268 282 316 352 358 436 448	125717565962
STPT(10)	815347459207213277	0 2 72 74 102 104 132 134 204 206	415284500148
STPT(10)	815347519739023937	0 2 30 32 42 44 54 56 84 86	475816310808
SPT(16)	815347688808574543	0 10 18 34 88 90 108 166 228 286 304 306 360 376 384 394	644885861414