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

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

Homogenous weight enumerator: w(x)=1x^0+27x^66+84x^67+122x^68+102x^69+782x^70+60x^71+620x^72+28x^73+35x^74+48x^75+52x^76+50x^77+20x^78+4x^80+12x^81+1x^136

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 0.473 seconds.