The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  4  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  4  4  4  4  4  4  4  4  4  4  4  4  4  4  4  0  0  0  0  0  0  0  0  4  4  4  4  4  4  4  4  0  0  0  0  4  4  4  4  0  0  4  4  0  4  4  0  0  0  0  0  4  0  4  0  4  0  4  0  4  4  4  0  0  0  4  0  4  0  4  4  0
 0  0  4  0  0  0  0  0  0  0  4  4  4  4  4  4  4  4  4  0  4  4  0  0  4  4  4  4  0  0  0  0  0  0  0  0  4  4  4  4  4  4  4  4  0  0  0  0  0  0  4  4  4  4  0  0  0  4  4  0  4  4  0  0  0  0  0  4  4  4  4  0  0  0  0  4  4  4  0  0  4  0  0  4  0  4  4  4  0
 0  0  0  4  0  0  0  4  4  4  4  4  0  4  4  0  0  0  0  0  0  0  0  0  4  4  4  4  4  4  4  4  0  0  4  4  4  4  0  0  0  0  4  4  4  4  0  0  0  4  4  0  0  4  4  0  4  4  0  0  0  4  4  0  0  0  4  4  0  0  0  4  4  4  4  4  0  4  0  0  0  4  0  4  4  4  4  0  4
 0  0  0  0  4  0  4  4  4  0  0  0  0  4  4  4  4  0  0  0  4  4  4  4  4  4  0  0  0  0  4  4  0  4  4  0  0  4  4  0  0  4  4  0  0  4  4  0  4  4  0  0  0  0  4  4  0  4  4  0  4  4  0  0  0  4  4  0  0  0  0  0  4  0  4  4  4  0  0  4  4  4  0  0  0  4  4  4  4
 0  0  0  0  0  4  4  0  4  4  0  4  4  4  0  0  4  0  4  4  4  0  0  4  0  4  4  0  0  4  4  0  4  4  0  0  0  0  4  4  0  0  4  4  4  4  0  0  0  4  4  0  4  0  0  4  4  4  4  4  0  0  0  0  4  4  0  0  0  0  4  4  4  0  0  4  4  4  0  0  0  4  4  4  0  0  0  0  0

generates a code of length 89 over Z8 who´s minimum homogenous weight is 86.

Homogenous weight enumerator: w(x)=1x^0+10x^86+77x^88+128x^89+12x^90+15x^92+10x^94+1x^116+2x^120

The gray image is a code over GF(2) with n=356, k=8 and d=172.
This code was found by Heurico 1.16 in 0.275 seconds.