The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+398x^64+392x^65+1050x^66+736x^67+1155x^68+816x^69+1264x^70+736x^71+860x^72+392x^73+252x^74+75x^76+32x^78+4x^80+26x^82+1x^84+1x^92+1x^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 4.47 seconds.