The generator matrix

 1  0  1  1  1  6  1  1 12  1 10  1  1  1  0  1  1  6 12  1  1  1  1 10  1  1  0  1  1 10  1  1 12  1  1  6  1  1  0  1  1  6  1  1  8  1  1 14  2  1  2  1  2  2  2  1  1 12 12  0  1  1  8 10  8  2  2
 0  1  3  6  5  1 12 15  1 10  1  9  3  0  1  6  5  1  1 12 15 10  9  1  0  3  1  6  5  1 12 15  1  9 10  1  0  3  1  6  5  1  8 11  1 14 13  1  0 12 12 10  8  6 14 15 15  1  2  2  3  7  2  1  0 14 10
 0  0  8  0  0  0  0  0  0  0  0  0  0  8  8  8  8  8  8  8  8  8  8  8  0  0  0  0  8  8  8  0  0  0  8  0  0  8  8  0  0  8  8  8  8  8  8  0  0  0  8  8  8  0  0  8  8  0  0  8  0  8  0  8  8  8  0
 0  0  0  8  0  0  0  0  8  8  8  8  8  8  8  0  8  0  8  0  0  8  8  0  8  8  0  0  0  8  8  0  8  8  8  0  8  8  0  0  0  8  0  8  0  0  0  8  0  8  0  8  0  8  0  8  0  0  8  8  0  0  0  0  8  8  8
 0  0  0  0  8  0  0  8  0  0  0  8  8  8  8  8  0  8  8  8  0  8  0  8  0  8  0  0  0  8  8  8  0  8  8  0  0  0  8  0  8  8  8  0  8  8  0  0  8  8  0  0  0  8  8  8  8  8  8  0  8  8  8  0  8  0  8
 0  0  0  0  0  8  8  8  8  8  0  0  8  8  8  0  8  0  0  8  8  0  0  8  0  0  8  0  8  0  0  0  0  8  8  0  8  0  0  8  8  8  0  8  8  8  0  8  8  8  8  8  0  0  0  0  0  0  8  8  0  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+238x^62+280x^63+440x^64+312x^65+676x^66+400x^67+561x^68+272x^69+393x^70+216x^71+163x^72+56x^73+68x^74+19x^76+1x^118

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 1.19 seconds.