The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+148x^79+249x^80+492x^81+504x^82+728x^83+585x^84+750x^85+613x^86+658x^87+521x^88+628x^89+441x^90+494x^91+253x^92+392x^93+218x^94+198x^95+126x^96+70x^97+33x^98+26x^99+18x^100+14x^101+15x^102+4x^103+5x^104+6x^105+2x^108

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 3.4 seconds.