The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+72x^72+316x^73+421x^74+548x^75+522x^76+736x^77+733x^78+758x^79+644x^80+584x^81+536x^82+572x^83+375x^84+378x^85+264x^86+270x^87+131x^88+148x^89+107x^90+28x^91+21x^92+10x^93+3x^94+8x^96+4x^97+2x^100

The gray image is a code over GF(2) with n=320, k=13 and d=144.
This code was found by Heurico 1.11 in 1.7 seconds.