The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+176x^52+84x^53+404x^54+448x^55+1007x^56+1144x^57+1894x^58+1852x^59+2408x^60+2048x^61+1876x^62+1068x^63+880x^64+424x^65+292x^66+84x^67+151x^68+12x^69+64x^70+4x^71+39x^72+14x^74+8x^76+1x^80+1x^84

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 5.54 seconds.