Prime p₀= 820128325148995229 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

SPT(16)	820125635438496949	0 30 34 48 58 78 102 112 150 160 184 204 214 228 232 262	-2689710498280
SPT(16)	820125639768962239	0 4 72 82 94 130 150 154 168 172 192 228 240 250 318 322	-2685380032990
TPT(14)	820125658617917831	0 2 18 20 60 62 90 92 180 182 210 212 258 260	-2666531077398
STPT(10)	820127036990470397	0 2 24 26 42 44 60 62 84 86	-1288158524832
SPT(16)	820127235111699497	0 6 30 56 72 92 126 140 162 176 210 230 246 272 296 302	-1090037295732
STPT(10)	820128301689629237	0 2 30 32 42 44 54 56 84 86	-23459365992
SPT(16)	820128488488897883	0 60 96 150 164 170 180 198 206 224 234 240 254 308 344 404	163339902654
SPT(16)	820128527117127439	0 12 28 72 124 168 190 228 274 312 334 378 430 474 490 502	201968132210
SPT(16)	820128701996258573	0 8 74 80 120 158 168 176 198 206 216 254 294 300 366 374	376847263344
SPT(16)	820129063779478967	0 72 104 122 132 152 156 182 264 290 294 314 324 342 374 446	738630483738
STPT(10)	820129122104728529	0 2 30 32 60 62 90 92 120 122	796955733300