The generator matrix

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

generates a code of length 57 over Z8 who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+24x^58+4x^60+3x^64

The gray image is a code over GF(2) with n=228, k=5 and d=116.
This code was found by Heurico 1.16 in 0.0613 seconds.