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

generates a code of length 79 over Z8 who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+170x^72+156x^73+374x^74+252x^75+418x^76+224x^77+390x^78+260x^79+402x^80+284x^81+330x^82+196x^83+265x^84+136x^85+102x^86+28x^87+30x^88+30x^90+16x^92+18x^94+8x^96+2x^98+2x^102+1x^104+1x^108

The gray image is a code over GF(2) with n=316, k=12 and d=144.
This code was found by Heurico 1.16 in 1.09 seconds.