Prime p₀= 2565185572237887419 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: [SG-FC] hl
db: batch=82, k=10, 2 16 2 10 2

STPT(10)	2565183427986514211	0 2 30 32 60 62 90 92 120 122	-2144251373208
STPT(10)	2565183719585805167	0 2 54 56 132 134 210 212 264 266	-1852652082252
SPT(16)	2565184988572838701	0 6 16 42 88 130 142 160 168 186 198 240 286 312 322 328	-583665048718
SPT(16)	2565184993995183733	0 46 78 84 90 120 144 148 216 220 244 274 280 286 318 364	-578242703686
SPT(16)	2565185022012524129	0 14 30 38 98 110 128 138 140 150 168 180 240 248 264 278	-550225363290
SPT(16)	2565185331016039117	0 66 84 112 144 154 172 210 256 294 312 322 354 382 400 466	-241221848302
STPT(10)	2565185617282284077	0 2 42 44 72 74 102 104 144 146	45044396658
STPT(10)	2565185664056835887	0 2 12 14 72 74 132 134 144 146	91818948468
TPT(14)	2565185712144922367	0 2 54 56 90 92 132 134 180 182 252 254 282 284	139907034948
SPT(16)	2565186609978830927	0 14 26 36 62 66 90 110 246 266 290 294 320 330 342 356	1037740943508
SPT(16)	2565187088796275509	0 4 10 70 100 102 130 180 184 234 262 264 294 354 360 364	1516558388090