The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+99x^62+216x^63+599x^64+350x^65+636x^66+422x^67+566x^68+364x^69+500x^70+154x^71+134x^72+22x^73+9x^74+4x^75+10x^76+2x^79+2x^80+2x^82+2x^83+1x^90+1x^94

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 0.445 seconds.