The generator matrix

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

generates a code of length 60 over Z16 who´s minimum homogenous weight is 55.

Homogenous weight enumerator: w(x)=1x^0+256x^55+458x^56+862x^57+1030x^58+1146x^59+1053x^60+1122x^61+817x^62+630x^63+341x^64+226x^65+102x^66+70x^67+30x^68+30x^69+2x^70+10x^71+4x^72+1x^76+1x^78

The gray image is a code over GF(2) with n=480, k=13 and d=220.
This code was found by Heurico 1.16 in 0.99 seconds.