Prime p₀= 1585944979429939109 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: emoga
db: batch=78, k=10, 2 16 2 40 2

STPT(10)	1585943888658059039	0 2 48 50 90 92 132 134 180 182	-1090771880070
STPT(10)	1585943951108124689	0 2 48 50 90 92 132 134 180 182	-1028321814420
STPT(10)	1585944013823844677	0 2 30 32 60 62 90 92 120 122	-965606094432
STPT(10)	1585944223399287509	0 2 18 20 30 32 42 44 60 62	-756030651600
SPT(16)	1585944608890324171	0 12 40 88 130 150 172 192 196 216 238 258 300 348 376 388	-370539614938
SPT(16)	1585944945763780999	0 24 112 132 154 180 190 192 220 222 232 258 280 300 388 412	-33666158110
SPT(16)	1585945595407311839	0 32 42 72 108 122 138 158 204 224 240 254 290 320 330 362	615977372730
SPT(16)	1585945666724498477	0 6 24 60 72 84 102 114 182 194 212 224 236 272 290 296	687294559368
SPT(16)	1585946105806154447	0 32 56 92 116 120 122 132 134 144 146 150 174 210 234 266	1126376215338
STPT(10)	1585946667294532061	0 2 36 38 78 80 120 122 156 158	1687864592952
STPT(10)	1585946999474483717	0 2 30 32 42 44 54 56 84 86	2020044544608