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

generates a code of length 68 over Z16 who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+54x^66+210x^67+495x^68+204x^69+57x^70+2x^71+1x^130

The gray image is a code over GF(2) with n=544, k=10 and d=264.
This code was found by Heurico 1.16 in 8.91 seconds.