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

generates a code of length 59 over Z16 who´s minimum homogenous weight is 53.

Homogenous weight enumerator: w(x)=1x^0+192x^53+364x^54+544x^55+649x^56+880x^57+971x^58+1258x^59+943x^60+778x^61+544x^62+446x^63+236x^64+182x^65+96x^66+46x^67+23x^68+14x^69+8x^70+10x^71+2x^72+2x^73+1x^74+2x^76

The gray image is a code over GF(2) with n=472, k=13 and d=212.
This code was found by Heurico 1.16 in 13.2 seconds.