Prime p₀= 2025670656764802329 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: Landjunge
db: batch=80, k=10, 2 16 2 40 2

SPT(16)	2025669628509726481	0 52 100 156 178 210 228 232 276 280 298 330 352 408 456 508	-1028255075848
STPT(10)	2025669703950102209	0 2 18 20 30 32 42 44 60 62	-952814700120
SPT(16)	2025669715170161653	0 28 48 76 94 106 108 120 124 136 138 150 168 196 216 244	-941594640676
SPT(16)	2025669732271327301	0 12 18 66 122 146 158 180 188 210 222 246 302 350 356 368	-924493475028
STPT(10)	2025670100051254211	0 2 36 38 78 80 120 122 156 158	-556713548118
SPT(16)	2025670614265895213	0 30 36 50 78 114 156 194 210 248 290 326 354 368 374 404	-42498907116
STPT(10)	2025670721523459557	0 2 30 32 42 44 54 56 84 86	64758657228
SPT(16)	2025671053044822749	0 12 38 42 68 128 132 168 194 230 234 294 320 324 350 362	396280020420
SPT(18)	2025671131131134741	0 60 92 146 150 158 168 170 212 246 288 290 300 308 312 366 398 458	474366332412
STPT(10)	2025671197275795359	0 2 12 14 90 92 168 170 180 182	540510993030
SPT(16)	2025671313837636593	0 38 50 56 66 78 156 170 294 308 386 398 408 414 426 464	657072834264