The generator matrix

 1  0  0  0  0  1  1  1  4  1  1  0  1  4  2  1  2  1  4  1  1  1  2  0  1  1  2  1  1  6  1  2  4  6  1  1  0  0  1  1  1  6  1  4  1  2  1  1  2  1  1  6  1  0  1  1  4  6  1  0  1  6  1  1  6  1  1  1  0  6  1  1  0  6  4  4  1  1  1  1
 0  1  0  0  0  0  0  0  0  1  1  1  5  1  1  3  4  4  4  4  5  3  1  1  2  6  1  7  1  2  3  1  2  1  5  6  1  1  4  7  0  1  3  1  0  1  1  5  2  7  3  1  2  0  0  7  6  2  3  1  2  1  0  1  6  7  2  6  1  1  5  5  1  0  2  1  1  2  4  0
 0  0  1  0  0  0  1  1  1  4  0  4  5  5  3  1  2  3  1  4  1  4  6  5  0  7  0  6  5  1  2  1  2  0  5  5  6  0  2  3  2  7  1  2  4  1  6  0  2  7  4  3  7  1  6  3  4  0  7  6  5  1  6  0  1  4  5  7  2  7  5  4  3  4  1  6  6  6  5  0
 0  0  0  1  0  1  0  3  7  4  7  3  4  3  4  3  1  7  1  2  0  2  2  7  3  0  1  5  5  4  6  0  0  7  1  4  6  5  7  6  4  5  7  2  7  5  0  6  1  3  3  0  2  4  2  4  1  2  5  1  7  5  5  7  2  5  5  1  6  2  6  1  4  1  5  5  0  1  6  1
 0  0  0  0  1  1  5  4  3  1  4  7  4  0  7  1  5  1  2  3  3  0  1  1  6  2  4  7  6  3  2  6  1  3  5  2  4  4  7  3  4  4  2  1  6  5  6  7  5  0  2  6  1  2  4  2  7  1  5  1  4  2  2  0  4  7  4  7  3  5  2  6  7  7  1  3  1  5  3  6
 0  0  0  0  0  4  4  0  4  4  0  4  0  0  4  4  4  4  0  4  4  0  4  4  0  0  0  4  0  4  0  0  4  4  4  4  4  4  0  0  4  4  4  0  4  0  4  0  0  4  4  4  0  4  4  4  0  4  0  0  4  4  4  4  0  0  0  0  4  0  4  4  4  4  0  0  0  4  4  0

generates a code of length 80 over Z8 who´s minimum homogenous weight is 69.

Homogenous weight enumerator: w(x)=1x^0+138x^69+483x^70+950x^71+1490x^72+1976x^73+2831x^74+3142x^75+3833x^76+4306x^77+5260x^78+5370x^79+5957x^80+5484x^81+5364x^82+4320x^83+4106x^84+3100x^85+2563x^86+1808x^87+1238x^88+818x^89+467x^90+236x^91+137x^92+72x^93+48x^94+8x^95+6x^96+10x^97+6x^98+6x^99+2x^102

The gray image is a code over GF(2) with n=320, k=16 and d=138.
This code was found by Heurico 1.11 in 71.5 seconds.