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  2  1  0  0 12  2  4  0  2  1  2  1  2  2  1  2  1  4  2  1 12  1  1  1 12  8  1  4  2  2  1  1
 0  2  0  0  0  2  6 14  0  8  0  2  6 12 14  2  8 14 14  4 12  6 10 12  2  0  2  4 10  2  2  2  2  8  4  8  0  8  6 12 14 14  8  4 14  2 14  4  2  2  6  2  2  2 10  0 10  8 10  0
 0  0  2  0  2  2  2  0  4 14  8  0  8 14 10 10  2  6  4  0  4  8 12  6 10  4 12  2  4  6  2 12 14  6  0  2 10  0 14 12 10 14  8 10  6 14  8 10 12  6 12  8  6  6 12 12 10 14  0  6
 0  0  0  2  2  0  2 10  8  2 14 14  4 12 14 12  6  4  2  6  0  8  8  8 10  6 14 14  2  0  2  4  8  2  2  0  0  8  6  4  2  4 12  6  8  0 12  8 12  0  4  0  2 14  4  2  6 12  6 14
 0  0  0  0  8  0  0  0  0  0  0  0  0  0  0  0  8  8  8  8  8  8  8  8  0  8  8  0  0  8  8  0  8  0  8  0  8  8  0  8  0  0  0  8  0  8  8  8  0  0  0  8  0  8  8  8  0  0  8  8
 0  0  0  0  0  8  0  8  8  8  8  0  8  8  8  0  8  8  8  8  8  8  0  0  8  0  0  0  0  0  8  8  8  0  0  0  0  0  0  8  0  0  0  8  8  0  0  0  0  0  8  8  8  8  8  8  0  0  0  8

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

Homogenous weight enumerator: w(x)=1x^0+167x^52+460x^53+710x^54+1288x^55+1485x^56+2876x^57+2932x^58+4572x^59+3864x^60+4708x^61+2884x^62+2884x^63+1452x^64+1140x^65+576x^66+388x^67+173x^68+96x^69+54x^70+20x^71+21x^72+12x^74+4x^76+1x^80

The gray image is a code over GF(2) with n=480, k=15 and d=208.
This code was found by Heurico 1.16 in 16.7 seconds.