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

generates a code of length 83 over Z16 who´s minimum homogenous weight is 79.

Homogenous weight enumerator: w(x)=1x^0+160x^79+73x^80+294x^81+197x^82+664x^83+173x^84+276x^85+50x^86+88x^87+8x^88+54x^89+9x^90+1x^156

The gray image is a code over GF(2) with n=664, k=11 and d=316.
This code was found by Heurico 1.16 in 1.19 seconds.