The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+99x^54+188x^55+457x^56+764x^57+872x^58+1096x^59+1290x^60+1096x^61+857x^62+764x^63+407x^64+188x^65+79x^66+6x^68+8x^70+10x^72+5x^74+3x^76+1x^80+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 1.02 seconds.