The generator matrix

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

generates a code of length 64 over Z16 who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+138x^58+452x^59+1150x^60+1610x^61+1968x^62+2058x^63+2257x^64+1940x^65+1630x^66+1284x^67+958x^68+446x^69+261x^70+110x^71+47x^72+20x^73+34x^74+16x^75+2x^76+1x^78+1x^80

The gray image is a code over GF(2) with n=512, k=14 and d=232.
This code was found by Heurico 1.16 in 2.49 seconds.