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

generates a code of length 69 over Z16 who´s minimum homogenous weight is 67.

Homogenous weight enumerator: w(x)=1x^0+104x^67+129x^68+96x^69+108x^70+20x^71+12x^72+30x^73+2x^74+4x^75+1x^76+1x^78+1x^80+2x^81+1x^86

The gray image is a code over GF(2) with n=552, k=9 and d=268.
This code was found by Heurico 1.16 in 0.469 seconds.