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

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

Homogenous weight enumerator: w(x)=1x^0+57x^78+64x^79+198x^80+256x^81+306x^82+432x^83+191x^84+272x^85+66x^86+80x^87+57x^88+48x^89+18x^90+1x^94+1x^156

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 0.728 seconds.