The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  1  1  0  1  1  6  1  1 12  1  1 10  1  1  0  1  1  6  1  1 10  1  1 12  1  8  1  1  4  1  1  6  1  1  1 10  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  0 14  2 12  0  6 12 10  0  8  6 14 12  4 14 14  1  1  1
 0  1  3  6  5  1 15 12  1 10  9  1  0  3  1  6  5  1 12 15  1 10  9  1  0  3  1  6  5  1 10 15  1  9 12  1  8  1  3  6  1 15  5  1  4 10  9  1 14  0  2 12  0  6 12 10  0  6 12 10  8 14  4  2  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 11  7  3
 0  0  8  0  0  0  0  8  8  8  8  8  0  0  0  8  8  8  8  8  8  0  0  0  0  0  0  0  0  0  8  8  8  8  8  8  0  0  0  8  8  8  0  0  8  0  8  8  8  8  0  0  8  0  0  8  8  0  0  0  8  8  0  8  8  8  0  0  8  8  0  0  8  8  0  8  0  0  8  0  8  8  8
 0  0  0  8  0  8  8  8  8  0  8  0  0  0  8  0  0  8  8  8  0  8  8  0  8  0  0  0  8  8  8  0  8  8  0  0  8  8  8  8  8  8  0  0  0  0  0  0  0  8  8  0  8  0  8  0  0  8  8  0  0  8  0  8  8  0  8  0  0  8  0  8  8  0  0  0  8  8  8  0  0  0  8
 0  0  0  0  8  0  8  8  8  8  0  8  8  0  8  0  8  0  0  8  0  8  0  8  8  8  8  8  8  8  8  8  8  8  8  8  0  0  0  0  0  0  0  0  0  0  0  0  8  0  0  8  8  0  8  0  8  8  0  8  0  8  0  0  0  0  0  8  8  8  0  8  8  0  8  8  8  0  0  0  8  0  0

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

Homogenous weight enumerator: w(x)=1x^0+288x^79+54x^80+160x^81+72x^82+896x^83+72x^84+160x^85+54x^86+288x^87+2x^102+1x^128

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 0.385 seconds.