The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+338x^54+932x^55+2341x^56+2444x^57+3986x^58+4068x^59+4845x^60+4104x^61+3977x^62+2432x^63+1831x^64+732x^65+425x^66+116x^67+112x^68+16x^69+41x^70+4x^71+19x^72+1x^74+3x^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 9.43 seconds.