The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+120x^59+223x^60+464x^61+452x^62+616x^63+440x^64+724x^65+250x^66+386x^67+255x^68+86x^69+30x^70+28x^71+6x^72+1x^74+2x^75+2x^76+6x^77+2x^78+1x^88+1x^90

The gray image is a code over GF(2) with n=512, k=12 and d=236.
This code was found by Heurico 1.16 in 0.4 seconds.