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  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  4  1  1  2  1  4  4  0  4
 0 12  0  4  0  0  4 12  8  0 12 12  8  0  4  4  0  4 12  0 12  8  0 12  0  4  4  0  8  4  0 12  8  4  8 12 12  8  4  8  4  4  8  8  4  8  4  0  0  4  4 12 12 12  0  4 12  8  8 12  4  8  8  0  4  4 12
 0  0 12  4  0 12  4  0  4  0  4  8  4  0 12  8  4  4  8  0  4 12  8  0  0  4  0 12  4 12  8  8  8  8  0 12  4  8  0  0  4  8 12 12  8  4 12 12  4  0 12 12  8  0 12  8  8  4  0  0 12  4  8  0  4  0  0
 0  0  0  8  0  0  8  0  8  8  0  8  8  8  0  8  0  0  8  8  0  0  8  8  0  8  0  8  8  8  0  0  0  0  8  0  8  0  8  8  0  0  8  8  0  0  0  0  8  8  8  0  8  8  0  8  0  0  0  8  8  0  8  0  0  8  0
 0  0  0  0  8  0  8  8  8  8  8  0  0  0  0  8  8  0  8  8  8  8  0  0  0  0  0  0  8  8  8  8  0  8  8  0  8  8  0  0  8  0  8  8  0  0  0  8  0  8  0  0  0  0  8  0  0  8  8  8  0  8  0  8  0  0  8
 0  0  0  0  0  8  0  0  0  0  0  0  0  0  0  0  0  8  8  8  8  8  8  8  8  8  8  8  8  8  8  8  0  0  0  0  0  0  0  0  0  0  8  0  8  8  8  0  8  0  0  8  8  8  8  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+156x^62+24x^63+71x^64+256x^65+336x^66+464x^67+224x^68+256x^69+140x^70+24x^71+21x^72+56x^74+16x^78+2x^80+1x^120

The gray image is a code over GF(2) with n=536, k=11 and d=248.
This code was found by Heurico 1.16 in 32.1 seconds.