The generator matrix

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

generates a code of length 58 over Z8 who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+15x^56+94x^58+15x^60+2x^74+1x^84

The gray image is a code over GF(2) with n=232, k=7 and d=112.
This code was found by Heurico 1.16 in 0.0493 seconds.