Prime p₀= 2412169606619421791 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: [AF>Le_Pommier] Jerome_C2005
db: batch=82, k=10, 2 4 2 10 2

SPT(16)	2412168700136003491	0 42 78 90 96 100 106 138 190 222 228 232 238 250 286 328	-906483418300
STPT(10)	2412168735240488591	0 2 6 8 48 50 90 92 96 98	-871378933200
SPT(16)	2412169079930453713	0 18 58 106 136 178 210 228 238 256 288 330 360 408 448 466	-526688968078
STPT(10)	2412169369762662509	0 2 18 20 30 32 42 44 60 62	-236856759282
SPT(13)	2412169428196021301	0 12 30 36 90 120 126 132 162 216 222 240 252	-178423400490
SPT(16)	2412169461833164757	0 26 42 66 110 126 146 192 194 240 260 276 320 344 360 386	-144786257034
SPT(16)	2412170633412498941	0 6 26 50 72 78 98 108 110 120 140 146 168 192 212 218	1026793077150
SPT(16)	2412171227735578789	0 54 82 88 132 154 172 204 208 240 258 280 324 330 358 412	1621116156998
STPT(10)	2412171525104422997	0 2 24 26 42 44 60 62 84 86	1918485001206
STPT(10)	2412172376782399349	0 2 18 20 30 32 42 44 60 62	2770162977558
SPT(16)	2412172446314923727	0 14 30 42 80 92 116 144 182 210 234 246 284 296 312 326	2839695501936