The generator matrix

 1  0  0  1  1  1  8  1  1  6  2  1 10  1  1  1  1  1  4  8 14  1  1 12 10  1  1  1  1  1  1  1 10  4  0  1  2  1  1  1  0  1  6  8  4 12  6  1  1  1  1  1  1  6  1  0  0 10  6 12  0 10  1  1  1 12  6  1  1
 0  1  0  4 13  5  1 12 13  1  1 14  6 15  2  7  3  6  1 10  1 12  1  1  4 11  2  9 11  9  8  6  1 10  1  7  1 12 11  2  8  7  1  1  1  1  1  5 10  4  1  2 11  8  1  6  4  2 14 12  1  1 14  6 13  1  1  0  0
 0  0  1  7 15 12  5  2  9  3  4  1  1 10  4  8  5  3 10  1  9 13  6  7  1  9  2 11  8  9  3 13  2  1  9 11 11  0 14  6  1  7  2 11  6 12  0 14  3  5  1 14 15  1  7  1  1  1  1  1  4 10  6  0  3  9  4 12  0
 0  0  0  8  8  8  0  8  0  8  8  0  8  0  0  8  0  8  8  8  0  0  8  8  0  8  8  0  0  8  0  8  0  0  8  0  0  8  0  0  8  0  8  0  0  8  0  0  0  8  0  8  8  8  8  0  8  0  8  0  0  8  0  0  8  8  0  0  0

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

Homogenous weight enumerator: w(x)=1x^0+88x^64+664x^65+876x^66+1332x^67+920x^68+1268x^69+660x^70+880x^71+456x^72+464x^73+188x^74+180x^75+95x^76+68x^77+36x^78+8x^79+7x^80+1x^92

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 0.875 seconds.