Prime p₀= 2851370689227017 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: taurec
db: batch=64, k=10, 2 10 2 28 2

STPT(10)	2851334691413237	0 2 12 14 42 44 72 74 84 86	-35997813780
TPT(12)	2851342617920567	0 2 12 14 24 26 42 44 114 116 324 326	-28071306450
TPT(12)	2851345926166061	0 2 18 20 30 32 186 188 210 212 216 218	-24763060956
SPT(14)	2851350815138081	0 6 62 90 146 156 182 210 236 246 302 330 386 392	-19874088936
SPT(14)	2851362863573167	0 10 16 52 60 72 82 114 124 136 144 180 186 196	-7825653850
SPT(14)	2851363098379651	0 10 30 88 100 142 160 168 186 228 240 298 318 328	-7590847366
TPT(12)	2851371074514419	0 2 18 20 30 32 42 44 78 80 90 92	385287402
SPT(14)	2851371139294021	0 10 40 78 82 100 102 106 108 126 130 168 198 208	450067004
SPT(14)	2851376845537889	0 8 18 30 50 60 92 120 152 162 182 194 204 212	6156310872
SPT(14)	2851379973554207	0 2 12 14 30 44 56 90 102 116 132 134 144 146	9284327190
SPT(14)	2851382489716219	0 4 60 64 82 130 144 148 162 210 228 232 288 292	11800489202