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  2  1  2  2  2  2  1  2  1  1  1  1  1  1  2  2  2  2  2  2  2  2  2  2  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1
 0 12  0  4  0  0  4 12  8  8 12  4  8  8 12  4  0  8  4 12  0  8  4 12  8  8  4 12  4 12  0  0 12  4  8  0 12  4  8  0 12 12  4  4  0  0  8  8  0  8  4 12  0  4  0  4  8  8 12 12  8  0 12  4  0  8  0  4
 0  0 12  4  8  4 12  8  8  4 12  8  0 12  4  0  0  4  4  0  8 12 12  8  4  8  4  0 12  8 12 12 12  8  0  4  4  0 12  4 12  4  8  0  0  8  8  0  0  4  4  0  8 12  4  8  8 12 12  8  0 12  4  0  0  4 12  4

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

Homogenous weight enumerator: w(x)=1x^0+7x^66+34x^67+175x^68+26x^69+8x^70+2x^71+2x^85+1x^102

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 0.174 seconds.