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

generates a code of length 87 over Z8 who´s minimum homogenous weight is 89.

Homogenous weight enumerator: w(x)=1x^0+20x^89+3x^90+4x^91+3x^92+1x^94

The gray image is a code over GF(2) with n=348, k=5 and d=178.
This code was found by Heurico 1.16 in 0.223 seconds.