The generator matrix

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

generates a code of length 67 over Z16 who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+51x^66+144x^67+51x^68+1x^70+4x^74+4x^76

The gray image is a code over GF(2) with n=536, k=8 and d=264.
This code was found by Heurico 1.16 in 0.29 seconds.