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  0  2  0  2  0  2  0  2  2  2  2  2  2  4  2  2  4  2  4  2  4  1  1  1  1  1  1  1  1  2  0  2  0  2  0  2  4  1  1  2  1  1  1  1  1  1  2  2  4  2  2  0  2  2  2  2
 0  2  0  6  0  6  0  2  0  6  0  2  0  6  0  2  4  6  4  2  4  6  4  2  4  6  4  2  4  6  4  2  6  2  6  2  6  2  6  2  0  0  4  4  0  2  2  4  2  2  2  2  2  2  0  0  4  4  0  0  4  4  6  2  6  2  6  2  2  2  0  0  4  4  4  0  0  4  4  0  6  2  0  2  2  0  0  4  0
 0  0  4  0  0  0  4  0  0  4  0  4  4  4  4  4  4  0  4  0  4  0  4  0  0  4  0  4  0  4  0  4  0  0  0  0  4  4  4  4  0  4  4  0  4  4  4  4  4  4  0  0  0  0  0  0  0  0  0  4  4  0  0  0  4  4  0  0  4  4  0  4  4  4  0  4  4  4  4  0  4  4  4  4  4  4  0  4  0
 0  0  0  4  0  0  0  4  4  4  4  4  4  0  4  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  4  4  4  4  0  0  0  0  4  4  4  4  0  0  0  0  0  0  4  4  4  4  0  0  0  0  4  4  4  4  4  4  0  4  4  0  0  0  0  0  4  0  4  0  4  0  0  4  0
 0  0  0  0  4  4  4  4  4  0  0  4  0  4  4  0  0  0  4  4  4  4  0  0  0  4  4  0  4  0  0  4  0  4  4  0  0  4  4  0  4  0  0  4  4  4  0  4  0  4  4  0  0  4  0  4  4  0  4  4  4  4  4  0  0  4  0  4  4  0  0  0  0  0  0  4  0  0  4  4  4  4  4  0  0  0  0  4  0

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

Homogenous weight enumerator: w(x)=1x^0+28x^86+32x^87+39x^88+64x^89+32x^90+32x^91+16x^92+7x^96+4x^102+1x^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 0.334 seconds.