The generator matrix

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

generates a code of length 68 over Z16 who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+310x^64+464x^65+688x^66+508x^67+491x^68+400x^69+472x^70+328x^71+246x^72+64x^73+48x^74+28x^75+21x^76+24x^78+3x^88

The gray image is a code over GF(2) with n=544, k=12 and d=256.
This code was found by Heurico 1.16 in 1.02 seconds.