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

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

Homogenous weight enumerator: w(x)=1x^0+186x^53+267x^54+600x^55+567x^56+916x^57+881x^58+1532x^59+876x^60+988x^61+472x^62+358x^63+142x^64+196x^65+86x^66+66x^67+27x^68+18x^69+4x^70+2x^71+2x^72+1x^74+2x^75+1x^76+1x^86

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 4.89 seconds.