The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+304x^54+948x^55+2093x^56+3088x^57+3246x^58+4868x^59+4258x^60+4616x^61+3366x^62+2760x^63+1521x^64+984x^65+406x^66+124x^67+108x^68+16x^69+34x^70+4x^71+17x^72+4x^74+2x^76

The gray image is a code over GF(2) with n=480, k=15 and d=216.
This code was found by Heurico 1.16 in 10.3 seconds.