Prime p₀= 2081006407412290331 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 76 2 58 2 58 2 76 2 (?)
a_n: 0 2 78 80 138 140 198 200 276 278
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: 278
Found by: Landjunge
db: batch=80, k=10, 2 76 2 58 2

SPT(16)	2081005315645247473	0 16 40 58 76 96 100 154 180 234 238 258 276 294 318 334	-1091767042858
SPT(16)	2081005454413980587	0 56 72 80 114 126 140 182 204 246 260 272 306 314 330 386	-952998309744
SPT(16)	2081005568465276371	0 66 76 78 112 118 172 190 198 216 270 276 310 312 322 388	-838947013960
STPT(10)	2081005569851166821	0 2 36 38 78 80 120 122 156 158	-837561123510
SPT(16)	2081005725572291239	0 24 40 148 154 172 178 204 238 264 270 288 294 402 418 442	-681839999092
STPT(10)	2081005804049531699	0 2 18 20 30 32 42 44 60 62	-603362758632
STPT(10)	2081006691451097297	0 2 24 26 42 44 60 62 84 86	284038806966
SPT(16)	2081006909090068051	0 22 42 126 186 190 240 252 256 268 318 322 382 466 486 508	501677777720
SPT(16)	2081007125972013427	0 6 40 42 66 70 90 96 166 172 192 196 220 222 256 262	718559723096
SPT(16)	2081007498695345791	0 22 36 76 82 112 130 148 180 198 216 246 252 292 306 328	1091283055460
SPT(16)	2081008274936826923	0 36 44 90 98 114 140 146 228 234 260 276 284 330 338 374	1867524536592