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

generates a code of length 76 over Z16 who´s minimum homogenous weight is 71.

Homogenous weight enumerator: w(x)=1x^0+36x^71+120x^72+312x^73+184x^74+320x^75+340x^76+144x^77+228x^78+36x^79+115x^80+152x^81+35x^82+24x^83+1x^130

The gray image is a code over GF(2) with n=608, k=11 and d=284.
This code was found by Heurico 1.16 in 1.71 seconds.