The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+40x^57+6x^58+8x^59+6x^60+2x^62+1x^64

The gray image is a code over GF(2) with n=228, k=6 and d=114.
This code was found by Heurico 1.16 in 11.4 seconds.