Prime p₀= 816427995082507859 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: [SG]FX
db: batch=73, k=10, 2 16 2 40 2

TPT(14)	816427190472078569	0 2 42 44 72 74 138 140 150 152 168 170 180 182	-804610429290
STPT(10)	816427432361651639	0 2 42 44 90 92 138 140 180 182	-562720856220
SPT(16)	816427673212826383	0 46 66 76 88 186 220 228 268 276 310 408 420 430 450 496	-321869681476
SPT(16)	816427684478551001	0 62 96 98 132 150 162 192 236 266 278 296 330 332 366 428	-310603956858
STPT(10)	816427796836266029	0 2 18 20 30 32 42 44 60 62	-198246241830
SPT(18)	816427953701520929	0 38 42 74 108 140 150 182 194 228 240 272 282 314 348 380 384 422	-41380986930
SPT(16)	816428272258956509	0 38 48 62 92 98 120 132 140 152 174 180 210 224 234 272	277176448650
STPT(10)	816428367388766651	0 2 30 32 78 80 126 128 156 158	372306258792
SPT(16)	816428662555294301	0 2 6 108 122 132 156 210 248 302 326 336 350 452 456 458	667472786442
SPT(16)	816428784392302909	0 10 22 24 90 112 120 150 172 202 210 232 298 300 312 322	789309795050
STPT(12)	816428937976914917	0 2 72 74 90 92 252 254 270 272 342 344	942894407058