The generator matrix

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

generates a code of length 86 over Z8 who´s minimum homogenous weight is 79.

Homogenous weight enumerator: w(x)=1x^0+66x^79+239x^80+262x^81+417x^82+372x^83+444x^84+340x^85+354x^86+248x^87+304x^88+186x^89+222x^90+112x^91+138x^92+96x^93+101x^94+50x^95+60x^96+38x^97+8x^98+12x^99+10x^100+4x^101+1x^102+4x^103+4x^104+2x^105+1x^106

The gray image is a code over GF(2) with n=344, k=12 and d=158.
This code was found by Heurico 1.16 in 1.1 seconds.