The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+490x^66+64x^67+450x^68+128x^69+432x^70+64x^71+298x^72+116x^74+2x^76+2x^82+1x^112

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 2.56 seconds.