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  2  2  1  2  1  1  1  4  2  1  1  1  1  0  1  2  1  2  4  2  1  1  0  1  2  1  1  4  4  2  4
 0 12  0  0  0  4 12  4  8  0  4  0  8  4  4  4  4  8  8  0  0 12  4  0  4  4  0 12  8  4 12  4  0  4  4 12 12  0 12  4 12  0  4  8 12  8  4  4  0  8  4  4  0  4  8  0 12 12  4  0
 0  0 12  0  4  4 12  0  0  4  8  0 12 12  8  4  4  0  8 12 12 12  0  0  4  8  8  4  0  0  8  0 12  0 12 12  8  0  8  0  0  4  8 12  4 12 12  0 12  4  8  8  4 12  4 12  8  4  8 12
 0  0  0 12  4  0 12  4  4  8  0  8  4  4  4  8  8  4  0  0  4 12  8  0  4 12  8  8 12 12  8 12  0  0  8 12  0 12  8 12 12  0  0  8  4 12  0 12 12  0  0  8  0  8  4  4  8 12 12  0
 0  0  0  0  8  0  0  8  0  8  8  0  0  0  0  8  0  0  0  0  8  8  8  8  0  8  8  0  8  0  0  8  0  8  8  8  8  8  8  0  8  0  8  0  0  0  0  0  8  0  0  0  8  0  0  8  8  8  8  8
 0  0  0  0  0  8  0  8  8  8  0  8  8  0  8  8  0  8  8  8  0  0  8  8  8  0  0  8  0  8  8  8  0  0  0  8  8  0  8  8  0  8  0  0  0  0  8  0  8  0  8  0  0  8  8  8  0  0  8  0
 0  0  0  0  0  0  8  0  8  8  8  0  0  0  0  0  0  0  8  8  8  0  8  8  0  0  0  8  0  0  8  8  8  0  0  0  0  8  0  8  8  0  8  8  8  0  8  8  0  8  0  8  0  0  8  0  0  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+147x^52+12x^53+302x^54+52x^55+607x^56+172x^57+1498x^58+292x^59+2217x^60+260x^61+1440x^62+156x^63+513x^64+68x^65+196x^66+12x^67+127x^68+74x^70+30x^72+10x^74+5x^76+1x^88

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 1.79 seconds.