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

generates a code of length 67 over Z16 who´s minimum homogenous weight is 63.

Homogenous weight enumerator: w(x)=1x^0+364x^63+318x^64+848x^65+361x^66+656x^67+320x^68+504x^69+214x^70+312x^71+50x^72+96x^73+1x^74+24x^75+12x^76+8x^77+4x^79+2x^84+1x^88

The gray image is a code over GF(2) with n=536, k=12 and d=252.
This code was found by Heurico 1.16 in 0.453 seconds.