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

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

Homogenous weight enumerator: w(x)=1x^0+31x^64+80x^65+114x^66+292x^67+435x^68+240x^69+564x^70+56x^71+40x^72+48x^73+74x^74+36x^75+20x^76+16x^77+1x^132

The gray image is a code over GF(2) with n=552, k=11 and d=256.
This code was found by Heurico 1.16 in 0.432 seconds.