Prime p₀= 2082595138071351719 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 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: Landjunge
db: batch=80, k=10, 2 10 2 16 2

SPT(16)	2082594496742148707	0 14 24 36 84 90 156 174 206 224 290 296 344 356 366 380	-641329203012
SPT(16)	2082594641823459353	0 14 36 50 66 78 84 126 128 170 176 188 204 218 240 254	-496247892366
STPT(10)	2082594866504413379	0 2 18 20 30 32 42 44 60 62	-271566938340
SPT(16)	2082595025023534823	0 6 14 26 44 54 90 116 198 224 260 270 288 300 308 314	-113047816896
SPT(16)	2082595026314353919	0 12 14 44 60 92 98 132 140 174 180 212 228 258 260 272	-111756997800
TPT(14)	2082595053819755609	0 2 78 80 168 170 180 182 222 224 252 254 288 290	-84251596110
STPT(10)	2082595256425031981	0 2 6 8 48 50 90 92 96 98	118353680262
SPT(16)	2082595391406936647	0 42 90 92 152 182 194 246 350 402 414 444 504 506 554 596	253335584928
STPT(10)	2082595695807296627	0 2 24 26 42 44 60 62 84 86	557735944908
SPT(16)	2082595958981854859	0 2 30 32 50 92 98 132 140 174 180 222 240 242 270 272	820910503140
STPT(10)	2082596173046842499	0 2 12 14 90 92 168 170 180 182	1034975490780