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

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

Homogenous weight enumerator: w(x)=1x^0+52x^66+160x^67+597x^68+160x^69+52x^70+1x^72+1x^132

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 0.403 seconds.