The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+158x^78+272x^79+495x^80+428x^81+684x^82+616x^83+753x^84+608x^85+714x^86+528x^87+684x^88+428x^89+426x^90+324x^91+354x^92+252x^93+176x^94+72x^95+80x^96+40x^97+38x^98+12x^99+25x^100+4x^101+10x^102+8x^104+2x^110

The gray image is a code over GF(2) with n=344, k=13 and d=156.
This code was found by Heurico 1.16 in 3.35 seconds.