The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+81x^52+78x^53+115x^54+266x^55+158x^56+710x^57+640x^58+1514x^59+1142x^60+1490x^61+616x^62+718x^63+114x^64+274x^65+126x^66+62x^67+31x^68+8x^69+25x^70+6x^72+8x^74+2x^76+4x^78+1x^80+1x^82+1x^98

The gray image is a code over GF(2) with n=480, k=13 and d=208.
This code was found by Heurico 1.16 in 1.52 seconds.