The generator matrix

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

generates a code of length 87 over Z8 who´s minimum homogenous weight is 86.

Homogenous weight enumerator: w(x)=1x^0+26x^86+56x^87+27x^88+3x^90+8x^91+4x^92+2x^94+1x^98

The gray image is a code over GF(2) with n=348, k=7 and d=172.
This code was found by Heurico 1.16 in 0.266 seconds.