The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  2  1  1  1  1  2  1  2  1  2  2  1  4  1  0  2  4  2  8  1  2  2  1  4  2  2  2  2  1  1  1  4  4  0  0  8  8  4
 0 12  8  4  0 12  8  4  0 12  8  4  0 12  8  4  0 12 12  4  8  4  0 12 12  8  4  4  0  8  0 12  8  4 12  4  4  4 12  0  8  4  8  0  8 12  4  0  8 12  0 12  8  4  4  8  4

generates a code of length 57 over Z16 who´s minimum homogenous weight is 57.

Homogenous weight enumerator: w(x)=1x^0+40x^57+2x^58+16x^59+2x^60+2x^62+1x^64

The gray image is a code over GF(2) with n=456, k=6 and d=228.
This code was found by Heurico 1.16 in 0.0881 seconds.