The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+72x^57+12x^58+16x^59+12x^60+4x^62+3x^64+8x^65

The gray image is a code over GF(2) with n=232, k=7 and d=114.
This code was found by Heurico 1.16 in 40.7 seconds.