The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  8  2  1  2  1  1  8  1 12  1  1  1  2  1 12  2  1  1  0  1  1  8  1  1  2  2  1 12  2  8  2  2  1
 0  2  0  2  0  0  6 14  4  4 10  6 12  4 14  2  0 10  8 10 10  4 14  8  6  0  2  2 14 12  0  6  8  2  2  8  2 14  4 10  4  2 14  0  6  2  4  4  2  8 12  0  0  6  2  8  2 14  2  4
 0  0  2  2 12  6  6  4  4  2  6  0  0 14  2 12  8  6 10  0  2  8  0 12  4  6 10 10 12 14 10 14 12  4  0  2  2  2  8 14 14  0  2 14  4 14 14 12  2  4 12  6 10 10 12  6  2  2  4 10
 0  0  0  8  0  0  8  0  0  0  8  0  8  8  0  8  8  0  8  0  8  0  8  8  8  8  0  8  8  0  8  0  0  8  8  8  0  8  8  0  8  8  8  0  0  0  8  0  8  0  8  8  0  8  0  0  8  0  0  0
 0  0  0  0  8  0  8  0  8  8  0  8  8  8  8  0  0  0  0  8  8  0  0  8  8  8  0  0  0  8  8  0  8  8  8  8  8  0  8  8  0  0  8  8  8  8  8  8  8  0  0  8  0  8  8  8  8  0  8  8
 0  0  0  0  0  8  0  8  8  0  8  8  0  8  0  0  8  0  8  0  8  8  8  8  0  0  0  8  8  8  8  8  8  0  8  0  8  0  8  0  8  0  8  8  0  8  0  0  0  8  0  8  0  0  0  8  8  8  0  8

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

Homogenous weight enumerator: w(x)=1x^0+177x^54+240x^55+651x^56+576x^57+1173x^58+740x^59+1357x^60+796x^61+993x^62+472x^63+460x^64+152x^65+179x^66+84x^67+80x^68+12x^69+38x^70+8x^72+2x^76+1x^84

The gray image is a code over GF(2) with n=480, k=13 and d=216.
This code was found by Heurico 1.16 in 1.58 seconds.