The generator matrix

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

generates a code of length 56 over Z8 who´s minimum homogenous weight is 57.

Homogenous weight enumerator: w(x)=1x^0+22x^57+3x^58+3x^60+2x^61+1x^62

The gray image is a code over GF(2) with n=224, k=5 and d=114.
This code was found by Heurico 1.16 in 0.251 seconds.