The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+306x^54+1054x^55+1974x^56+2924x^57+3696x^58+4444x^59+4443x^60+4462x^61+3529x^62+2632x^63+1640x^64+920x^65+417x^66+164x^67+85x^68+30x^69+33x^70+10x^71+1x^72+3x^74

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 9.78 seconds.