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

generates a code of length 59 over Z16 who´s minimum homogenous weight is 57.

Homogenous weight enumerator: w(x)=1x^0+324x^57+142x^58+168x^59+92x^60+228x^61+16x^62+48x^63+2x^64+1x^72+1x^74+1x^82

The gray image is a code over GF(2) with n=472, k=10 and d=228.
This code was found by Heurico 1.16 in 7.33 seconds.