The generator matrix

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

generates a code of length 69 over Z16 who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+342x^66+320x^67+370x^68+200x^69+284x^70+192x^71+185x^72+40x^73+76x^74+16x^75+12x^76+8x^82+2x^98

The gray image is a code over GF(2) with n=552, k=11 and d=264.
This code was found by Heurico 1.16 in 0.255 seconds.