The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+191x^72+84x^73+452x^74+156x^75+491x^76+180x^77+490x^78+196x^79+445x^80+172x^81+470x^82+148x^83+256x^84+76x^85+164x^86+12x^87+51x^88+12x^90+23x^92+10x^94+8x^96+2x^98+4x^100+2x^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 1.51 seconds.