The generator matrix

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

generates a code of length 80 over Z8 who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+31x^72+118x^73+254x^74+296x^75+258x^76+324x^77+368x^78+336x^79+337x^80+302x^81+277x^82+298x^83+249x^84+242x^85+196x^86+74x^87+26x^88+24x^89+13x^90+10x^91+21x^92+10x^93+6x^94+6x^95+4x^96+4x^97+3x^98+4x^99+2x^102+1x^106+1x^112

The gray image is a code over GF(2) with n=320, k=12 and d=144.
This code was found by Heurico 1.16 in 1.03 seconds.