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

generates a code of length 69 over Z16 who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+300x^64+64x^65+500x^66+392x^67+561x^68+656x^69+538x^70+336x^71+337x^72+80x^73+156x^74+8x^75+135x^76+18x^78+9x^80+4x^82+1x^112

The gray image is a code over GF(2) with n=552, k=12 and d=256.
This code was found by Heurico 1.16 in 0.679 seconds.