The generator matrix

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

generates a code of length 60 over Z16 who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+200x^54+344x^55+1015x^56+1552x^57+1840x^58+2264x^59+2278x^60+2248x^61+1738x^62+1372x^63+796x^64+320x^65+208x^66+80x^67+63x^68+8x^69+42x^70+4x^71+2x^72+4x^74+3x^76+2x^80

The gray image is a code over GF(2) with n=480, k=14 and d=216.
This code was found by Heurico 1.16 in 3.2 seconds.