The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+243x^54+404x^55+1098x^56+1216x^57+2070x^58+2016x^59+2592x^60+2024x^61+1971x^62+1080x^63+874x^64+320x^65+231x^66+80x^67+93x^68+24x^69+26x^70+4x^71+11x^72+3x^74+3x^76

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 4.95 seconds.