Prime p₀= 2567335237882679879 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: SEARCHER
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2567333721021351757	0 24 34 66 76 82 124 156 220 252 294 300 310 342 352 376	-1516861328122
SPT(16)	2567333862805792711	0 30 66 82 138 142 148 208 210 270 276 280 336 352 388 418	-1375076887168
TPT(14)	2567333980802682941	0 2 78 80 90 92 126 128 210 212 246 248 300 302	-1257079996938
STPT(10)	2567334028107381719	0 2 42 44 90 92 138 140 180 182	-1209775298160
STPT(10)	2567334666074195999	0 2 18 20 60 62 102 104 120 122	-571808483880
SPT(16)	2567334680231163421	0 46 78 102 120 130 132 148 150 166 168 178 196 220 252 298	-557651516458
SPT(16)	2567335305712316911	0 30 46 66 70 72 186 226 312 352 466 468 472 492 508 538	67829637032
STPT(10)	2567335603563157949	0 2 18 20 30 32 42 44 60 62	365680478070
STPT(10)	2567336377078571249	0 2 48 50 90 92 132 134 180 182	1139195891370
STPT(10)	2567336377459937267	0 2 30 32 60 62 90 92 120 122	1139577257388
SPT(16)	2567336455409562229	0 18 42 52 60 72 120 142 150 172 220 232 240 250 274 292	1217526882350