The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  1  1  6  1  1  0  1 12  1  1  1 10  1  1  1  0  1  1  6  1  1  1  1  0  1 10  1  1  6 12  1 12  1  1 10  1 12 10  1  1  0  1  1  1  1  1  1  1
 0  1  3  6  5  1 12  7  1 10  9  1  0  3  1  6  5  1  9  1 12 10 15  1  6  0  3  1 12 10  1  5  0  6 15  1  9  1 12  0  1  1  3  1 15  5  1 12  1  1  0 10  1  5  9  3 15  8  6  0
 0  0  8  0  0  0  0  0  0  0  0  8  0  8  8  8  8  8  0  8  0  8  0  8  8  0  8  0  0  0  0  0  8  0  8  8  8  0  0  8  0  8  0  8  0  8  0  0  0  0  8  8  8  0  8  0  8  0  8  0
 0  0  0  8  0  0  0  0  0  8  0  8  8  0  8  0  8  0  8  0  8  8  0  0  8  8  0  0  8  0  0  0  8  8  8  0  0  0  8  0  8  8  0  8  0  8  0  8  0  8  0  8  0  8  8  8  0  0  8  0
 0  0  0  0  8  0  0  0  0  8  8  0  8  8  0  0  8  8  8  8  0  8  8  0  0  8  8  0  0  0  8  8  0  0  0  8  0  0  0  8  0  0  8  8  0  8  8  8  0  0  0  8  0  8  0  8  0  0  8  0
 0  0  0  0  0  8  0  0  8  0  8  8  0  0  8  8  8  0  0  8  0  8  8  0  8  0  0  8  0  8  0  0  0  8  8  0  8  0  8  8  0  0  8  0  8  0  0  8  0  8  8  0  8  8  8  8  8  8  8  0
 0  0  0  0  0  0  8  0  8  0  0  0  8  0  8  0  8  8  8  8  8  0  0  0  8  0  8  8  8  0  8  0  0  8  0  0  8  0  0  8  8  8  8  8  8  0  8  8  8  0  0  0  8  0  8  0  8  0  8  0
 0  0  0  0  0  0  0  8  8  0  8  0  0  8  8  8  8  0  8  0  0  8  0  8  8  8  8  0  8  0  0  8  0  0  8  0  0  8  8  0  0  0  0  0  0  8  8  0  8  8  0  0  8  8  8  0  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+35x^52+72x^53+177x^54+568x^55+515x^56+1640x^57+1238x^58+3096x^59+1746x^60+3096x^61+1230x^62+1640x^63+484x^64+568x^65+148x^66+72x^67+25x^68+11x^70+7x^72+4x^74+2x^76+6x^78+1x^80+2x^82

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 3.37 seconds.