The generator matrix

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

generates a code of length 63 over Z16 who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+257x^58+488x^59+893x^60+1012x^61+1109x^62+1044x^63+1129x^64+792x^65+615x^66+364x^67+230x^68+108x^69+65x^70+20x^71+28x^72+8x^73+16x^74+4x^75+5x^76+2x^78+2x^80

The gray image is a code over GF(2) with n=504, k=13 and d=232.
This code was found by Heurico 1.16 in 1.05 seconds.