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  2  1  1  1  1  1  1  1  0  1  1  1  2  1  8  1  8  1  1  1  1  2 12  1  1  1  0  1  1 12  1  1  2  1  1  4  1
 0  2  0  6  4 14 12  2  0  6 12 10  8 14  0  2 14 12 10  4 12  0  6 14  2 14  2 12  8  8  2 14  2  0 10  0  2 10  2  2 10  0 12  8  2  4 14 14  2  0  6  2  4 12  6 14  0  4 10
 0  0 12  0  4  4  8  4  0  8  0  0  4  4 12  4  8  0  0 12 12  0  8  4 12  8  0  8 12  0  0 12  4 12  8 12 12  4 12  4  8  8  8 12  0  8  4 12  0  8  4  8  8  8  8 12  8  4  8
 0  0  0  8  0  0  8  0  0  8  8  0  0  0  0  0  8  8  0  8  8  8  8  8  8  0  8  0  8  0  8  8  8  8  0  8  8  8  0  0  8  8  8  8  8  8  8  0  8  8  0  0  0  0  8  8  0  0  8
 0  0  0  0  8  0  0  8  8  8  8  8  0  0  8  8  8  0  0  0  8  8  8  8  0  8  0  0  0  8  0  8  0  8  8  8  0  8  0  0  0  0  8  8  8  8  0  0  0  0  8  0  8  8  0  0  8  8  8
 0  0  0  0  0  8  0  8  0  0  0  0  8  0  8  0  8  8  8  0  0  8  8  8  8  8  8  8  8  8  0  0  0  8  0  0  8  8  0  8  0  8  0  0  8  8  8  0  8  0  8  0  8  0  0  8  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+96x^53+96x^54+232x^55+256x^56+486x^57+567x^58+718x^59+544x^60+482x^61+219x^62+172x^63+81x^64+84x^65+13x^66+26x^67+11x^68+2x^69+1x^70+1x^72+2x^73+4x^75+1x^76+1x^96

The gray image is a code over GF(2) with n=472, k=12 and d=212.
This code was found by Heurico 1.16 in 1.11 seconds.