Prime p₀= 2566837327527936899 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: RFGuy_KCCO
db: batch=82, k=10, 2 40 2 16 2

SPT(16)	2566835466267322847	0 86 114 126 146 192 200 204 212 216 224 270 290 302 330 416	-1861260614052
STPT(10)	2566835916923631161	0 2 6 8 48 50 90 92 96 98	-1410604305738
STPT(10)	2566836091982066909	0 2 12 14 90 92 168 170 180 182	-1235545869990
TPT(14)	2566836352344158759	0 2 12 14 60 62 72 74 102 104 138 140 198 200	-975183778140
TPT(16)	2566836463921483667	0 2 60 62 90 92 102 104 114 116 174 176 264 266 270 272	-863606453232
SPT(16)	2566836889489640527	0 16 100 132 154 172 204 240 286 322 354 372 394 426 510 526	-438038296372
STPT(10)	2566837611431417381	0 2 30 32 78 80 126 128 156 158	283903480482
TPT(14)	2566837884385037687	0 2 54 56 90 92 114 116 132 134 144 146 282 284	556857100788
SPT(16)	2566838225795014177	0 40 52 54 130 144 172 184 210 222 250 264 340 342 354 394	898267077278
STPT(10)	2566838422994627447	0 2 30 32 42 44 54 56 84 86	1095466690548
STPT(10)	2566838690861984681	0 2 6 8 18 20 30 32 36 38	1363334047782