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

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

Homogenous weight enumerator: w(x)=1x^0+29x^52+230x^53+275x^54+678x^55+818x^56+1450x^57+1525x^58+2372x^59+1964x^60+2234x^61+1547x^62+1342x^63+642x^64+576x^65+235x^66+254x^67+87x^68+52x^69+30x^70+22x^71+10x^72+2x^73+4x^74+2x^75+2x^79+1x^80

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 4.77 seconds.