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

generates a code of length 71 over Z16 who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+44x^66+318x^68+256x^69+328x^70+256x^71+510x^72+108x^74+194x^76+32x^78+1x^128

The gray image is a code over GF(2) with n=568, k=11 and d=264.
This code was found by Heurico 1.16 in 0.477 seconds.