The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  8  1  4  1  2  1  0  1  2  1  1  1  1  1  1  1  1  1 12  1  1  1  1  8  1  2  2  1  0  1  1  1  1  1  2  2  1  8  1  0  1
 0  2  0  6  4 14 12  2  0  6 12 10  8 14 12  2  0 14 14  2 12  2 10  2  2  2  4  6 14  4 10 12 14 10  6  8  4  2 14 12  4  0  2 12 10 14  0  2 14  4  8  6 12 14  2  4  4 10  2  0
 0  0 12  0  4  4  0  4  0  8  0  8 12 12 12  4  8  8  4 12  8 12  8  4 12  0 12  8 12  8  8  8  4 12  8  4  4  8  0  8  8  8  4  8  8 12  4  8 12  4  4  4  4 12 12  0 12  8  0  0
 0  0  0  8  0  0  0  0  0  8  8  8  8  8  8  8  8  0  8  0  0  0  8  8  8  8  8  8  0  8  0  8  8  8  8  8  8  0  0  0  8  8  8  0  0  8  8  0  0  8  0  0  8  8  0  0  0  8  8  0
 0  0  0  0  8  0  0  8  8  8  8  0  8  0  0  8  0  8  8  0  8  0  8  8  8  8  0  0  8  0  0  8  8  0  8  8  0  0  8  8  8  8  0  8  8  8  0  8  8  8  8  0  8  0  0  0  8  8  8  0
 0  0  0  0  0  8  0  8  0  0  0  0  0  8  0  8  0  0  8  0  8  0  8  8  0  8  8  8  0  0  8  8  0  8  0  8  8  8  8  8  8  0  8  0  0  0  8  8  8  8  8  0  0  0  0  8  0  8  0  0
 0  0  0  0  0  0  8  0  0  0  8  8  0  8  0  8  0  8  8  0  8  8  8  0  8  8  0  0  0  8  8  0  0  0  8  8  8  8  0  0  8  8  0  0  8  0  8  8  0  0  0  0  8  8  8  8  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+30x^52+64x^53+179x^54+266x^55+448x^56+620x^57+856x^58+1094x^59+1121x^60+1134x^61+869x^62+626x^63+390x^64+210x^65+119x^66+54x^67+43x^68+18x^69+10x^70+4x^71+13x^72+2x^73+12x^74+4x^75+2x^76+2x^78+1x^90

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 1.41 seconds.