The generator matrix

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

generates a code of length 64 over Z16 who´s minimum homogenous weight is 59.

Homogenous weight enumerator: w(x)=1x^0+572x^59+1093x^60+1608x^61+1780x^62+2472x^63+2241x^64+2092x^65+1472x^66+1116x^67+836x^68+648x^69+204x^70+152x^71+44x^72+36x^73+8x^75+5x^76+2x^80+2x^84

The gray image is a code over GF(2) with n=512, k=14 and d=236.
This code was found by Heurico 1.16 in 357 seconds.