Prime p₀= 2582444127834736349 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Rantanplan
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2582442711682884593	0 6 30 50 56 86 90 156 188 254 258 288 294 314 338 344	-1416151851756
STPT(10)	2582442873394745129	0 2 18 20 30 32 42 44 60 62	-1254439991220
SPT(16)	2582443215147487519	0 22 100 120 154 202 204 210 274 280 282 330 364 384 462 484	-912687248830
TPT(14)	2582443377434289359	0 2 42 44 90 92 132 134 198 200 210 212 258 260	-750400446990
SPT(16)	2582443532823045077	0 44 60 104 110 114 116 132 224 240 242 246 252 296 312 356	-595011691272
SPT(16)	2582444010891198329	0 18 32 74 102 108 140 170 192 222 254 260 288 330 344 362	-116943538020
TPT(14)	2582444130634210019	0 2 78 80 90 92 102 104 132 134 210 212 240 242	2799473670
STPT(10)	2582445359457366461	0 2 36 38 78 80 120 122 156 158	1231622630112
STPT(10)	2582445366530104247	0 2 30 32 42 44 54 56 84 86	1238695367898
SPT(20)	2582445382128347761	0 6 28 76 78 100 132 166 198 232 306 340 372 406 438 460 462 510 532 538	1254293611412
SPT(16)	2582445494374430521	0 42 70 72 96 100 148 162 166 180 228 232 256 258 286 328	1366539694172