The generator matrix

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

generates a code of length 67 over Z16 who´s minimum homogenous weight is 62.

Homogenous weight enumerator: w(x)=1x^0+66x^62+284x^63+521x^64+500x^65+576x^66+440x^67+510x^68+384x^69+336x^70+276x^71+117x^72+12x^73+32x^74+24x^75+8x^76+2x^78+2x^80+4x^82+1x^96

The gray image is a code over GF(2) with n=536, k=12 and d=248.
This code was found by Heurico 1.16 in 0.384 seconds.