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

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

Homogenous weight enumerator: w(x)=1x^0+17x^66+206x^68+576x^69+206x^70+16x^72+1x^74+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 0.329 seconds.