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

generates a code of length 71 over Z16 who´s minimum homogenous weight is 67.

Homogenous weight enumerator: w(x)=1x^0+120x^67+65x^68+340x^69+384x^70+440x^71+314x^72+196x^73+88x^75+3x^76+60x^77+24x^79+12x^81+1x^136

The gray image is a code over GF(2) with n=568, k=11 and d=268.
This code was found by Heurico 1.16 in 0.539 seconds.