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

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

Homogenous weight enumerator: w(x)=1x^0+133x^52+332x^54+44x^55+442x^56+376x^57+982x^58+1088x^59+1487x^60+1188x^61+930x^62+332x^63+348x^64+32x^65+224x^66+8x^67+144x^68+4x^69+54x^70+33x^72+6x^74+3x^76+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 1.73 seconds.