The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+325x^62+422x^63+1081x^64+722x^65+1241x^66+850x^67+1239x^68+688x^69+848x^70+326x^71+264x^72+42x^73+68x^74+14x^75+26x^76+4x^77+9x^78+4x^79+12x^80+4x^82+1x^90+1x^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 1.43 seconds.