The generator matrix

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

generates a code of length 54 over Z8 who´s minimum homogenous weight is 57.

Homogenous weight enumerator: w(x)=1x^0+10x^57+2x^58+2x^59+1x^60

The gray image is a code over GF(2) with n=216, k=4 and d=114.
This code was found by Heurico 1.16 in 0.051 seconds.