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  1  1  1  1  1  1  2  1  1  2  2  1  1  1  1  2  1  2  1  2  1  1  1  1  4  8  2  1  1  2  4  4  1  1  2  2
 0 12  0  4  0  0  4 12  0  8  4  4  0  4  4  8  0  0  8  0 12  4  4 12  4 12 12  4  8  0 12  8  0  0  4  0  8 12  0 12  0  4  8  8  8  8  8  4  4  4 12  8  4  4 12 12  8  8  0 12
 0  0 12  4  0 12  4  0  8  4  0  4  0 12  0  4  8  8  4  4  0  0  4 12 12 12  0  0  4  4  0  8  8 12 12  0  8  8  8  8  0 12  8  4  0  4 12  4 12  4  8  8  8 12  0  0  0 12 12  8
 0  0  0  8  0  0  0  0  8  8  8  0  8  8  0  0  8  0  0  8  8  0  0  8  0  8  0  0  0  0  8  0  8  8  8  8  0  8  8  0  0  8  8  0  8  0  0  0  8  8  8  0  8  0  0  8  0  8  0  8
 0  0  0  0  8  0  0  0  0  0  0  0  8  0  0  0  8  8  0  0  0  0  8  8  8  8  8  8  8  8  0  8  0  0  8  8  0  8  8  8  8  8  8  8  0  8  8  8  8  0  0  0  8  8  0  8  8  8  8  0
 0  0  0  0  0  8  0  0  0  8  0  8  8  8  8  8  8  0  0  8  0  8  0  8  8  0  8  8  0  0  8  0  0  8  8  0  8  0  0  8  8  8  8  8  0  8  8  0  8  8  8  0  8  8  0  8  8  0  8  8
 0  0  0  0  0  0  8  0  8  8  8  8  8  0  0  0  8  0  8  0  0  8  0  8  8  0  0  0  8  8  8  8  0  8  8  0  0  0  8  8  0  8  0  0  0  8  0  8  0  8  8  0  0  0  8  0  0  0  0  8
 0  0  0  0  0  0  0  8  0  0  8  8  0  0  0  8  8  8  0  0  8  0  8  0  0  0  8  0  8  0  8  0  8  8  8  8  8  0  8  8  8  0  8  0  0  0  8  8  8  8  8  8  0  0  0  0  0  0  0  0

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

Homogenous weight enumerator: w(x)=1x^0+189x^52+24x^53+224x^54+72x^55+415x^56+408x^57+414x^58+2056x^59+626x^60+2056x^61+452x^62+408x^63+374x^64+72x^65+160x^66+24x^67+147x^68+28x^70+25x^72+2x^74+13x^76+1x^80+1x^92

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 89.5 seconds.