Prime p₀= 2012705871805983857 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: Chooka
db: batch=80, k=10, 2 22 2 16 2

STPT(10)	2012704512497584181	0 2 90 92 150 152 210 212 300 302	-1359308399676
SPT(16)	2012704707723846139	0 40 94 108 120 132 154 174 238 258 280 292 304 318 372 412	-1164082137718
STPT(10)	2012704935167398949	0 2 72 74 120 122 168 170 240 242	-936638584908
SPT(16)	2012705129564953511	0 20 72 78 90 98 162 176 252 266 330 338 350 356 408 428	-742241030346
STPT(10)	2012705286619940411	0 2 36 38 78 80 120 122 156 158	-585186043446
SPT(16)	2012705769587970833	0 26 56 68 78 90 110 134 180 204 224 236 246 258 288 314	-102218013024
STPT(10)	2012705979106835627	0 2 24 26 42 44 60 62 84 86	107300851770
SPT(16)	2012706286811204987	0 2 74 126 132 144 156 170 186 200 212 224 230 282 354 356	415005221130
SPT(16)	2012706320481997159	0 4 40 64 108 118 132 138 244 250 264 274 318 342 378 382	448676013302
STPT(10)	2012706350306714561	0 2 36 38 78 80 120 122 156 158	478500730704
STPT(10)	2012706841535036399	0 2 18 20 30 32 42 44 60 62	969729052542