The generator matrix

 1  0  0  0  1  1  1  4  2  0  6  1  1  1  1  0  2  1  6  1  0  1  6  1  2  1  1  1  1  4  0  2  1  6  4  1  4  2  1  1  4  1  1  2  1  6  1  0  1  1  1  4  1  1  0  6  1  2  0  1  1  1  1  6  2  1  1  1  1  1  4  1  0  6  0  1  0  1  6  1  1  1  1  2  1  1  1
 0  1  0  0  1  4  1  0  1  1  1  6  2  7  7  1  1  2  4  1  1  3  2  4  1  1  0  6  3  0  1  1  0  2  1  4  6  1  1  2  4  3  1  6  2  0  7  1  0  0  5  1  4  3  1  1  5  0  1  6  7  1  6  1  1  5  1  3  1  6  4  6  1  1  6  7  1  0  1  3  1  3  4  1  1  5  0
 0  0  1  0  2  0  6  1  4  3  3  1  7  1  3  6  6  6  1  5  1  6  1  3  3  3  7  0  2  2  4  5  4  1  5  3  1  6  6  7  1  4  0  6  5  1  7  7  2  2  6  0  6  1  3  5  1  1  1  3  5  4  2  6  6  3  4  6  2  5  1  5  2  5  0  5  7  7  1  5  4  6  3  1  1  2  0
 0  0  0  1  2  1  3  1  1  6  7  4  1  6  3  4  7  1  4  4  5  3  7  5  4  1  2  6  6  1  3  3  1  1  2  7  0  6  0  2  7  0  5  1  7  2  4  3  2  4  2  4  1  5  4  6  4  7  2  3  4  4  4  3  1  7  7  6  7  2  7  1  0  1  1  6  5  4  6  2  3  4  0  0  1  1  1
 0  0  0  0  4  0  4  0  0  4  4  0  0  4  4  4  4  4  4  0  0  0  4  4  0  0  4  4  0  4  4  4  4  4  0  0  0  0  0  4  0  4  4  0  4  0  0  0  0  4  0  4  0  0  0  4  4  0  4  0  4  4  0  0  4  4  0  4  0  0  4  4  0  0  4  0  4  0  4  4  0  0  4  4  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+72x^79+293x^80+532x^81+562x^82+666x^83+740x^84+642x^85+593x^86+536x^87+562x^88+558x^89+554x^90+480x^91+334x^92+328x^93+270x^94+140x^95+88x^96+98x^97+64x^98+22x^99+26x^100+12x^101+5x^102+4x^103+4x^104+4x^105+2x^109

The gray image is a code over GF(2) with n=348, k=13 and d=158.
This code was found by Heurico 1.11 in 2 seconds.