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

generates a code of length 83 over Z16 who´s minimum homogenous weight is 78.

Homogenous weight enumerator: w(x)=1x^0+39x^78+84x^79+210x^80+248x^81+384x^82+310x^83+278x^84+184x^85+115x^86+48x^87+87x^88+16x^89+29x^90+6x^91+8x^94+1x^154

The gray image is a code over GF(2) with n=664, k=11 and d=312.
This code was found by Heurico 1.16 in 0.797 seconds.