The generator matrix

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

generates a code of length 59 over Z16 who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+172x^54+592x^55+751x^56+990x^57+1174x^58+1210x^59+976x^60+914x^61+664x^62+368x^63+163x^64+94x^65+40x^66+38x^67+18x^68+18x^69+4x^70+2x^72+2x^74+1x^80

The gray image is a code over GF(2) with n=472, k=13 and d=216.
This code was found by Heurico 1.16 in 0.923 seconds.