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

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

Homogenous weight enumerator: w(x)=1x^0+6x^66+142x^67+13x^68+36x^69+5x^70+46x^71+2x^72+5x^74

The gray image is a code over GF(2) with n=544, k=8 and d=264.
This code was found by Heurico 1.16 in 0.231 seconds.