Prime p₀= 2566165426444656731 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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 28 2 28 2

STPT(10)	2566163813811336881	0 2 6 8 18 20 30 32 36 38	-1612633319850
SPT(16)	2566163965009661831	0 20 42 68 72 110 128 146 162 180 198 236 240 266 288 308	-1461434994900
SPT(16)	2566164003543326929	0 10 52 58 72 84 120 130 162 172 208 220 234 240 282 292	-1422901329802
SPT(16)	2566164202494211043	0 6 26 30 98 110 128 134 180 186 204 216 284 288 308 314	-1223950445688
SPT(16)	2566164536108533757	0 14 24 42 60 62 74 174 200 300 312 314 332 350 360 374	-890336122974
STPT(10)	2566165193554892099	0 2 18 20 30 32 42 44 60 62	-232889764632
STPT(10)	2566165454639438747	0 2 30 32 42 44 54 56 84 86	28194782016
SPT(16)	2566165567147791743	0 8 14 18 24 30 38 78 80 120 128 134 140 144 150 158	140703135012
SPT(16)	2566165781820213187	0 42 54 124 130 202 222 234 280 292 312 384 390 460 472 514	355375556456
TPT(14)	2566166044338295367	0 2 42 44 90 92 150 152 180 182 210 212 330 332	617893638636
SPT(16)	2566166658851993867	0 54 66 80 102 120 132 134 192 194 206 224 246 260 272 326	1232407337136