Prime p₀= 2565841373983909517 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: [SG-FC] hl
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2565838857444343711	0 28 42 48 66 72 96 112 156 172 196 202 220 226 240 268	-2516539565806
SPT(16)	2565839190099999421	0 60 76 112 166 186 196 238 240 282 292 312 366 402 418 478	-2183883910096
STPT(10)	2565839483320191821	0 2 30 32 138 140 246 248 276 278	-1890663717696
TPT(14)	2565839747269430249	0 2 78 80 90 92 132 134 168 170 198 200 228 230	-1626714479268
STPT(10)	2565839878422917651	0 2 36 38 78 80 120 122 156 158	-1495560991866
SPT(16)	2565841028214580789	0 12 40 70 84 100 114 154 168 208 222 238 252 282 310 322	-345769328728
TPT(14)	2565841415248656239	0 2 60 62 78 80 90 92 102 104 168 170 258 260	41264746722
STPT(10)	2565841482551116709	0 2 42 44 60 62 78 80 120 122	108567207192
SPT(16)	2565841614639242743	0 16 66 96 100 114 126 168 196 238 250 264 268 298 348 364	240655333226
STPT(10)	2565841644413974049	0 2 12 14 30 32 48 50 60 62	270430064532
STPT(10)	2565842024286525377	0 2 30 32 42 44 54 56 84 86	650302615860