Prime p₀= 820182597321583829 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: Theadalus
db: batch=73, k=10, 2 10 2 76 2

TPT(14)	820181099959634291	0 2 60 62 138 140 180 182 216 218 240 242 336 338	-1497361949538
STPT(10)	820181193152396861	0 2 30 32 78 80 126 128 156 158	-1404169186968
TPT(14)	820181582476253951	0 2 18 20 90 92 156 158 186 188 228 230 246 248	-1014845329878
SPT(16)	820181718495681371	0 18 20 32 86 102 128 156 272 300 326 342 396 408 410 428	-878825902458
STPT(10)	820182141401112689	0 2 42 44 90 92 138 140 180 182	-455920471140
SPT(16)	820182430820880377	0 12 60 74 90 104 126 150 176 200 222 236 252 266 314 326	-166500703452
SPT(16)	820182822196458649	0 34 60 64 70 78 118 144 238 264 304 312 318 322 348 382	224874874820
SPT(16)	820183062611225051	0 8 78 110 126 138 162 168 170 176 200 212 228 260 330 338	465289641222
STPT(10)	820183264631452607	0 2 12 14 72 74 132 134 144 146	667309868778
TPT(14)	820183307973356051	0 2 30 32 90 92 96 98 168 170 258 260 336 338	710651772222
SPT(16)	820183369075358723	0 24 56 86 108 110 180 200 204 224 294 296 318 348 380 404	771753774894