Prime p₀= 2082595695807296627 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Landjunge
db: batch=80, k=10, 2 22 2 16 2

SPT(16)	2082595025023534823	0 6 14 26 44 54 90 116 198 224 260 270 288 300 308 314	-670783761804
SPT(16)	2082595026314353919	0 12 14 44 60 92 98 132 140 174 180 212 228 258 260 272	-669492942708
TPT(14)	2082595053819755609	0 2 78 80 168 170 180 182 222 224 252 254 288 290	-641987541018
STPT(10)	2082595138071351719	0 2 12 14 30 32 48 50 60 62	-557735944908
STPT(10)	2082595256425031981	0 2 6 8 48 50 90 92 96 98	-439382264646
SPT(16)	2082595391406936647	0 42 90 92 152 182 194 246 350 402 414 444 504 506 554 596	-304400359980
SPT(16)	2082595958981854859	0 2 30 32 50 92 98 132 140 174 180 222 240 242 270 272	263174558232
STPT(10)	2082596173046842499	0 2 12 14 90 92 168 170 180 182	477239545872
STPT(10)	2082596325708936509	0 2 42 44 90 92 138 140 180 182	629901639882
STPT(10)	2082596648474395787	0 2 24 26 42 44 60 62 84 86	952667099160
SPT(16)	2082596836809844207	0 6 10 12 34 42 72 76 90 94 124 132 154 156 160 166	1141002547580