The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+528x^54+888x^55+1914x^56+1696x^57+2320x^58+2064x^59+2355x^60+1544x^61+1560x^62+660x^63+527x^64+164x^65+106x^66+12x^67+21x^68+4x^69+4x^70+8x^71+4x^72+2x^74+2x^76

The gray image is a code over GF(2) with n=472, k=14 and d=216.
This code was found by Heurico 1.16 in 4.26 seconds.