Prime p₀= 1585944223399287509 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: emoga
db: batch=78, k=10, 2 16 2 10 2

SPT(16)	1585943707649689139	0 20 114 140 168 174 182 240 272 330 338 344 372 398 492 512	-515749598370
STPT(10)	1585943743251716669	0 2 42 44 60 62 78 80 120 122	-480147570840
SPT(16)	1585943781202596527	0 20 60 66 122 140 152 162 164 174 186 204 260 266 306 326	-442196690982
STPT(10)	1585943888658059039	0 2 48 50 90 92 132 134 180 182	-334741228470
STPT(10)	1585943951108124689	0 2 48 50 90 92 132 134 180 182	-272291162820
STPT(10)	1585944013823844677	0 2 30 32 60 62 90 92 120 122	-209575442832
SPT(16)	1585944608890324171	0 12 40 88 130 150 172 192 196 216 238 258 300 348 376 388	385491036662
SPT(16)	1585944945763780999	0 24 112 132 154 180 190 192 220 222 232 258 280 300 388 412	722364493490
STPT(10)	1585944979429939109	0 2 18 20 60 62 102 104 120 122	756030651600
SPT(16)	1585945595407311839	0 32 42 72 108 122 138 158 204 224 240 254 290 320 330 362	1372008024330
SPT(16)	1585945666724498477	0 6 24 60 72 84 102 114 182 194 212 224 236 272 290 296	1443325210968