The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+144x^72+168x^73+554x^74+420x^75+804x^76+484x^77+836x^78+508x^79+769x^80+512x^81+690x^82+432x^83+572x^84+316x^85+380x^86+156x^87+226x^88+48x^89+86x^90+20x^91+28x^92+8x^93+8x^94+12x^96+6x^98+4x^100

The gray image is a code over GF(2) with n=320, k=13 and d=144.
This code was found by Heurico 1.16 in 3.1 seconds.