Prime p₀= 2565838365656425001 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: RFGuy_KCCO
db: batch=82, k=10, 2 4 2 10 2

STPT(10)	2565837287925864761	0 2 6 8 48 50 90 92 96 98	-1077730560240
STPT(10)	2565837404438715761	0 2 6 8 48 50 90 92 96 98	-961217709240
STPT(10)	2565837684347335007	0 2 30 32 42 44 54 56 84 86	-681309089994
STPT(10)	2565837821112507827	0 2 54 56 72 74 90 92 144 146	-544543917174
STPT(10)	2565838236163363781	0 2 6 8 48 50 90 92 96 98	-129493061220
SPT(18)	2565838350723403177	0 42 102 120 130 226 232 240 256 270 286 294 300 396 406 424 484 526	-14933021824
STPT(10)	2565838388567146841	0 2 36 38 78 80 120 122 156 158	22910721840
SPT(16)	2565838597052193509	0 2 12 30 72 78 90 128 144 182 194 200 242 260 270 272	231395768508
SPT(16)	2565838690493932471	0 16 66 126 132 142 150 160 192 202 210 220 226 286 336 352	324837507470
SPT(16)	2565838823824798199	0 12 18 32 54 80 98 104 228 234 252 278 300 314 320 332	458168373198
SPT(16)	2565838857444343711	0 28 42 48 66 72 96 112 156 172 196 202 220 226 240 268	491787918710