The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  4  1  1  1  1  1  1  2  1  1  1  1  1  2  1  1  1  2  1  1 12  1  1  1  2  4  2  2  0 12  1  1  2  1 12
 0  2  0  2  0  8 10  2  4  6  4 14 12  4  6  6  0 10  4  6  6  8  4  6  0 10 14  4 12 10 10 12  2 12  2 10  0  6  2  8  8  4  6 12  8  0 14  8 14 10 12  0  0 12  6  0  4  2  2  6  2  8  4  2  6  6  2
 0  0  2  2 12 14  6  4  4 14  2  0  8 14 10  4  0 10 10  8 10 14  0 12 12  8  6  6 10  4 14  0  2  4  4  2  2  4  8  2 12  4 10 14  2 10  4  0  6  6 12  4  2 14 12  0  2 12 12  0 10  2  2  2  8  2  0
 0  0  0  8  0  0  8  0  8  0  8  8  8  8  0  8  0  8  0  0  0  8  0  0  8  8  8  8  0  8  0  8  0  0  0  0  8  8  8  0  8  0  8  0  8  8  0  8  0  0  8  0  0  0  8  8  0  8  8  8  0  0  0  8  8  8  0
 0  0  0  0  8  8  8  8  8  8  0  0  0  8  0  8  8  8  0  8  8  8  0  0  0  0  0  0  8  8  0  8  0  0  0  8  0  0  8  0  8  8  0  8  8  8  8  8  0  0  0  0  8  0  0  0  8  0  0  8  8  0  8  8  8  8  0

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

Homogenous weight enumerator: w(x)=1x^0+316x^62+56x^63+521x^64+292x^65+749x^66+336x^67+770x^68+280x^69+389x^70+56x^71+202x^72+4x^73+79x^74+37x^76+3x^78+4x^80+1x^108

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 0.6 seconds.