The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+282x^62+572x^63+865x^64+876x^65+1168x^66+940x^67+1098x^68+812x^69+740x^70+400x^71+231x^72+68x^73+68x^74+28x^75+18x^76+4x^77+6x^78+12x^79+1x^80+2x^92

The gray image is a code over GF(2) with n=536, k=13 and d=248.
This code was found by Heurico 1.16 in 94.2 seconds.