The generator matrix

 1  0  1  1  1  6  1  1 10  1  1 12  1  1 12  1  1 10  1  1  6  1  1  0  1  1  8  1  1 14  1  1  1  1  4  2  1  1  1  1  1  1  1  1  8 14  4  2  2  2  0  2  2 12  2  2  0  2  2 12  2  2  2  2  1 12  8  1
 0  1  3  6  5  1 12 15  1 10  9  1  0  3  1  6  5  1 12 15  1 10  9  1  8 11  1 14 13  1  4  2  7  1  1  1  8 14  4  2 11 13  7  1  1  1  1  1  0  6  2 12 10  2  0  6  2 12 10  2  8  4  4  8 15  1  0  0
 0  0  8  8  0  8  8  0  0  0  8  8  8  0  0  0  8  8  0  8  0  8  0  8  8  8  8  0  0  0  0  8  0  8  0  8  0  8  8  0  0  8  8  0  0  8  8  0  8  8  8  8  8  8  0  0  0  0  0  0  8  0  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+39x^66+232x^67+67x^68+72x^69+45x^70+32x^71+16x^72+4x^74+4x^76

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 0.148 seconds.