The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  0  0  2  2  2  4  4  4  2  4  1  4  1  0  1  4  1  1  1  1  1  4  4  2  0  2  0  2  1  0  1  0  1
 0  2  0  0  0  0  0  0  0  0  4  2  6  2  4  0  2  2  2  2  0  6  6  6  6  6  0  4  2  6  2  4  0  6  2  4  0  2  2  2  2  2  2  2  4  6  0  0  4  4  4  4  4  6  2  4  6  2  2  2  2  0  0  2  2  4  2  0  2  6
 0  0  2  0  0  0  0  0  0  0  6  4  2  2  2  2  2  6  4  0  6  4  6  0  2  0  6  6  4  6  6  6  2  0  0  4  6  4  4  0  2  2  6  4  0  0  4  6  2  2  2  0  2  6  6  4  0  6  4  0  4  2  6  2  0  4  4  6  6  0
 0  0  0  2  0  0  4  6  2  2  2  6  4  2  2  0  0  6  2  0  4  4  6  2  0  4  2  2  6  4  2  0  0  0  6  6  0  6  4  4  0  0  2  2  2  2  2  0  2  4  0  4  2  2  4  4  4  0  4  2  0  6  2  0  6  0  4  0  0  2
 0  0  0  0  2  0  6  6  6  4  0  0  0  0  4  0  2  6  2  6  2  4  0  6  2  6  6  2  4  0  6  2  2  6  4  4  0  0  6  2  6  4  0  4  0  0  2  4  6  4  2  2  2  2  0  4  0  0  4  4  6  0  6  0  4  2  2  2  4  0
 0  0  0  0  0  2  2  4  6  2  0  0  0  0  6  2  6  6  4  0  2  2  2  6  0  2  2  4  2  6  0  4  2  2  2  4  4  2  2  0  6  0  6  4  2  4  0  6  0  2  4  2  2  6  2  0  4  0  4  0  2  4  0  2  6  4  0  2  2  2

generates a code of length 70 over Z8 who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+135x^60+16x^61+368x^62+52x^63+593x^64+184x^65+674x^66+348x^67+903x^68+384x^69+984x^70+500x^71+856x^72+312x^73+638x^74+180x^75+412x^76+64x^77+280x^78+8x^79+152x^80+92x^82+46x^84+4x^86+5x^88+1x^96

The gray image is a code over GF(2) with n=280, k=13 and d=120.
This code was found by Heurico 1.16 in 4.77 seconds.