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

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

Homogenous weight enumerator: w(x)=1x^0+16x^66+64x^67+348x^68+64x^69+15x^70+2x^72+1x^96+1x^102

The gray image is a code over GF(2) with n=544, k=9 and d=264.
This code was found by Heurico 1.16 in 0.237 seconds.