The generator matrix

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

generates a code of length 60 over Z16 who´s minimum homogenous weight is 52.

Homogenous weight enumerator: w(x)=1x^0+43x^52+172x^53+363x^54+636x^55+985x^56+1364x^57+1544x^58+1946x^59+2310x^60+2066x^61+1771x^62+1188x^63+774x^64+572x^65+233x^66+170x^67+99x^68+64x^69+45x^70+12x^71+10x^72+9x^74+2x^76+2x^77+3x^78

The gray image is a code over GF(2) with n=480, k=14 and d=208.
This code was found by Heurico 1.16 in 4.71 seconds.