The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  2  0  6  4 14 12  2  0  6 12 10  0 14  4  2 10  0 12  6  8  6 12  2 10  0  6  8  6  4  4 10 12 10  8  6  8 14  8 14  8  6 12 10  8 14  8 14 12  4 10  2  0 14  4  2  4  4  0
 0  0 12  0 12  4  0  4  8  8  8  8  4 12  4 12  0  0  0  0  4 12  4 12  4  8  4 12  8 12  8  8 12 12  4 12  8  8  8  8 12  4  4  4  0  0  0  0  8  8  0  8 12  4  4  4  0  0  0
 0  0  0  8  8  0  8  8  0  8  8  0  0  0  8  8  8  8  0  0  8  8  0  0  0  8  8  8  0  0  0  8  8  8  0  0  0  0  8  8  0  0  8  8  8  8  0  0  0  8  0  8  8  8  0  0  8  0  0

generates a code of length 59 over Z16 who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+17x^56+40x^57+110x^58+688x^59+110x^60+40x^61+17x^62+1x^118

The gray image is a code over GF(2) with n=472, k=10 and d=224.
This code was found by Heurico 1.16 in 0.206 seconds.