The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+303x^52+248x^53+920x^54+952x^55+1878x^56+2140x^57+3872x^58+3752x^59+4731x^60+3836x^61+3738x^62+2376x^63+1788x^64+788x^65+706x^66+216x^67+345x^68+28x^69+102x^70+36x^72+6x^74+5x^76+1x^80

The gray image is a code over GF(2) with n=480, k=15 and d=208.
This code was found by Heurico 1.16 in 84.5 seconds.