The generator matrix

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

generates a code of length 87 over Z8 who´s minimum homogenous weight is 79.

Homogenous weight enumerator: w(x)=1x^0+78x^79+266x^80+516x^81+599x^82+674x^83+599x^84+780x^85+633x^86+670x^87+532x^88+512x^89+383x^90+466x^91+364x^92+308x^93+250x^94+194x^95+138x^96+108x^97+52x^98+28x^99+19x^100+16x^101+3x^102+1x^104+2x^111

The gray image is a code over GF(2) with n=348, k=13 and d=158.
This code was found by Heurico 1.16 in 2.96 seconds.