The generator matrix

 1  0  1  1  1  6  1  1 12  1 10  1  1  8  1  1  1 14  1  1  2  4  1  1  1  8 10  1  1  1  1  1  1  1  1  1  1  4  6  8  1  0  1  1  1  1  1  1  1  8  1  6  1  1  1  1  1  1  1
 0  1 11  6 13  1  8  7  1  1  1 10  3  1 12  6  5  1  4  9  1  1 14 13  2  1  1  5  8  9 15  4 14 10 15 11  9  1  1  1  0  1 15  1 12  3 14  6 13  1 12  1 14  1 12  9  6 14  7
 0  0 12  0  4  0  4  4  8  4  0  0  8  4  8  0  0  4 12  8  4 12  4  4  4  4  0  8  4  8  0  4 12  4  8 12  0  4  8  0  8  0 12 12  8  0  8  8 12 12  0  0 12  8  0  0 12 12  4
 0  0  0  8  0  0  0  0  0  0  0  0  0  0  0  0  8  8  8  8  8  8  8  8  8  8  8  8  8  8  0  0  8  0  8  8  0  0  0  8  8  8  8  0  0  8  8  8  8  0  0  8  0  0  0  0  0  8  8
 0  0  0  0  8  0  0  0  8  8  8  0  0  0  8  8  8  8  0  0  0  0  8  0  0  8  0  8  8  0  8  0  0  8  8  8  8  0  8  8  0  8  0  0  8  0  8  0  8  8  0  0  8  0  8  8  8  8  8
 0  0  0  0  0  8  0  8  8  8  0  8  8  8  0  8  8  0  8  0  0  8  8  8  0  8  8  0  0  8  8  8  8  8  0  8  0  0  8  0  8  8  0  8  8  0  0  8  0  0  8  0  0  0  0  8  8  8  0

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

Homogenous weight enumerator: w(x)=1x^0+84x^53+205x^54+484x^55+617x^56+1044x^57+995x^58+1406x^59+966x^60+1034x^61+598x^62+472x^63+170x^64+74x^65+12x^66+5x^68+2x^69+12x^70+4x^71+2x^73+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 0.955 seconds.