Prime p₀= 2582445366530104247 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: Rantanplan
db: batch=82, k=10, 2 28 2 10 2

TPT(14)	2582443377434289359	0 2 42 44 90 92 132 134 198 200 210 212 258 260	-1989095814888
SPT(16)	2582443532823045077	0 44 60 104 110 114 116 132 224 240 242 246 252 296 312 356	-1833707059170
SPT(16)	2582444010891198329	0 18 32 74 102 108 140 170 192 222 254 260 288 330 344 362	-1355638905918
STPT(10)	2582444127834736349	0 2 18 20 30 32 42 44 60 62	-1238695367898
TPT(14)	2582444130634210019	0 2 78 80 90 92 102 104 132 134 210 212 240 242	-1235895894228
STPT(10)	2582445359457366461	0 2 36 38 78 80 120 122 156 158	-7072737786
SPT(20)	2582445382128347761	0 6 28 76 78 100 132 166 198 232 306 340 372 406 438 460 462 510 532 538	15598243514
SPT(16)	2582445494374430521	0 42 70 72 96 100 148 162 166 180 228 232 256 258 286 328	127844326274
SPT(16)	2582445500364896603	0 24 38 48 50 78 110 150 164 204 236 264 266 276 290 314	133834792356
TPT(14)	2582445598350802337	0 2 24 26 72 74 114 116 234 236 282 284 324 326	231820698090
SPT(16)	2582446179298978787	0 12 14 26 32 42 56 90 266 300 314 324 330 342 344 356	812768874540