The generator matrix

 1  0  1  1  1  6  1  1  8  1  1 14  1 12  1  1 10  1  1  1  1  4  2  1  1  1  1  8  1 14  1  1  1  4  1  2  1  8  1 14  1  1  4  1  1  2  1  1  2  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  0 12 14  8  1  1  2  1
 0  1 11 14 13  1  2  3  1 12  5  1  7  1  8  1  1  6 15  9 10  1  1  2  4 11 13  1  8  1 14  7  1  1  4  1  8  1  3  1  5  4  1  6 15  1 10  9 12  6  2 14  6  8 14 12 12  2 12  2  8  4  4  2  3  5  7  9  0  5  7  7  2  5  1  1  1  1  1  5  8  1  4
 0  0 12  4 12  8  4  0  4  8  8 12  4  8 12  4  0  0  8  0  8 12  4 12  4  4  4 12  4  4 12 12 12  4 12 12  8  8  8  0  0  0  0  8  0  8  0  8  0 12 12  8  4  4  0  0 12  8  8  4 12  0  4  0 12 12  8 12  8  0 12  8  0  8  0  0  8  4  4 12  0  0 12
 0  0  0  8  8  8  0  8  8  8  0  0  8  8  8  0  0  0  0  8  8  8  0  0  8  0  8  0  0  8  8  8  0  0  0  8  8  8  0  0  8  0  0  8  8  8  0  0  8  0  8  0  0  8  8  0  8  8  0  8  0  8  0  0  8  0  8  8  0  0  0  0  8  8  0  8  0  0  0  8  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+78x^79+320x^80+214x^81+384x^82+212x^83+283x^84+164x^85+206x^86+94x^87+78x^88+6x^89+3x^92+1x^94+2x^100+1x^110+1x^120

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 0.619 seconds.