The generator matrix

 1  0  1  1  1 14  1  1 12  1  1  2  1  1  8  1  1  6  1  1 10  1  1  4  1  1  1  1  8 10  1  1  1  1  1  1  1  1  1  1  1  1  8  6  4  4  6 10  1  1  1  1  1  1  1  1  1  1  1
 0  1 11 14  5  1 12  7  1  2  9  1  8  3  1  6 13  1  4 15  1 10  1  1  0 14  3 13  1  1  0 14  3  1 12  2 12  2 15 13 15  1  1  1  1  1  1  1  8  8  8  6  6  6  4  2 10 14  0
 0  0 12  4  8 12  8  4  8 12  0  4  4  0 12  0 12  8 12  8  0  8  4  4  8 12  8  4  4  8 12  8  4  8  4  0  0  4 12  0  0 12  8  4 12  0  0 12  8 12  0 12  4  8  4  8 12  4  0

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

Homogenous weight enumerator: w(x)=1x^0+26x^56+320x^57+36x^58+256x^59+36x^60+320x^61+26x^62+1x^64+2x^86

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 0.14 seconds.