The generator matrix

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

generates a code of length 86 over Z8 who´s minimum homogenous weight is 78.

Homogenous weight enumerator: w(x)=1x^0+94x^78+346x^79+380x^80+608x^81+630x^82+780x^83+647x^84+600x^85+611x^86+598x^87+499x^88+522x^89+428x^90+378x^91+265x^92+284x^93+172x^94+154x^95+70x^96+58x^97+30x^98+14x^99+8x^100+8x^101+3x^102+2x^103+2x^104

The gray image is a code over GF(2) with n=344, k=13 and d=156.
This code was found by Heurico 1.11 in 1.93 seconds.