The generator matrix

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

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+538x^74+472x^75+780x^76+424x^77+888x^78+488x^79+785x^80+532x^81+704x^82+424x^83+523x^84+320x^85+390x^86+168x^87+213x^88+60x^89+86x^90+16x^91+31x^92+14x^94+17x^96+4x^98+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 1.16 in 2.99 seconds.