The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+80x^72+292x^73+437x^74+520x^75+656x^76+632x^77+755x^78+622x^79+788x^80+504x^81+636x^82+496x^83+401x^84+350x^85+294x^86+254x^87+167x^88+132x^89+93x^90+28x^91+31x^92+6x^93+7x^94+4x^96+4x^97+2x^98

The gray image is a code over GF(2) with n=320, k=13 and d=144.
This code was found by Heurico 1.16 in 2.63 seconds.