The generator matrix

 1  0  1  1  1 14  1  1  4  1  1 10  1  1  6  1  1  2  1  1  4  8  1  1  2  2 14 14  4  0 12  0  0  0  1  1  1  1  1  1  1  1  1  1  1  1 14  4 14 10  1  2 14  1  6  8  1  4 14  1  1  2  1  8  1  0 14  1 10
 0  1  1  6  3  1 13  4  1 10  3  1 15 12  1  8  1  1  6 15  1  1  2 13  1  1  1  1  1  1  1  1  1  1  8  4  5  9  4  8  9  2 14  3  5 15  1  1  1  1 11 14  1 10  1  8  5  1  1  0 12  1  9  1 13  2  1  6  1
 0  0  2  0  8  0  8 10 14 10  2 14  0  8  6  2  0  8  2 10 14  8  8 10 10 12 10 12  4 10  4  2  4  4  0  0 12 12  6  6 10 10  4 14 10  0  4 14  6  8  4  6 14  4  6  2  8 12  2 12 10  2 14 14 12 14  0 12  4
 0  0  0 12  0 12 12  0 12  4  4  0  8  8  8  8  4  4 12 12  4  8  4  8  0  4  8 12  0 12  8  4  4 12  4 12 12  4  4 12 12  0  8  0  4  4  8  0  4  8  4  4 12 12  0  0  0  4  4  0  4 12 12  8  4 12  8  8 12

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

Homogenous weight enumerator: w(x)=1x^0+369x^64+500x^65+904x^66+860x^67+1149x^68+952x^69+1072x^70+804x^71+667x^72+396x^73+290x^74+44x^75+107x^76+8x^77+36x^78+20x^79+9x^80+2x^82+2x^96

The gray image is a code over GF(2) with n=552, k=13 and d=256.
This code was found by Heurico 1.16 in 20.7 seconds.