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  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  1  1  2  1  1
 0 12  0  4  0  0  4 12  0  0  4 12  0  0  4 12  8  8 12  4  8  8 12  4  8  8 12  4  8  8 12  4  8  4 12  0  4  4  4  8 12 12  0  4  0  0  8  8  8 12 12 12 12  0  4  8  4  0  0  0  8 12  8  4  0  8  8  4  8
 0  0 12  4  0 12  4  0  8  4 12  8  8  4 12  8  8  4 12  8  8  4 12  8  0 12  4  0  0 12  4  0  4  4  0 12  8 12  4  4  8  4 12  0  0  8  8  0 12  0 12  4  8  4  0 12 12  0  4  8  8 12  0  8  0  4  4  4  8
 0  0  0  8  8  8  0  8  8  8  8  8  0  0  0  0  0  0  0  0  8  8  8  8  8  8  8  8  0  0  0  0  0  0  8  0  8  0  8  8  0  8  8  0  8  8  8  8  8  0  0  0  8  8  8  0  8  0  0  0  0  8  0  0  0  0  8  0  0

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

Homogenous weight enumerator: w(x)=1x^0+7x^66+12x^67+56x^68+360x^69+54x^70+12x^71+7x^72+1x^74+2x^102

The gray image is a code over GF(2) with n=552, k=9 and d=264.
This code was found by Heurico 1.16 in 0.251 seconds.