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

generates a code of length 69 over Z16 who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+8x^66+26x^67+182x^68+590x^69+184x^70+22x^71+8x^72+2x^73+1x^136

The gray image is a code over GF(2) with n=552, k=10 and d=264.
This code was found by Heurico 1.16 in 0.359 seconds.