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 10  1  1  6  1 12  1  1  1  1  1  1  1  1  1  8 14  4  2  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
 0  1  3  6  5  1 12 15  1 10  9  1  0  3  1  6  5  1 12 15  1 10  9  1  0  3  1  6  9  1 12 15  1  5  1  6 10  0 12 10  3  5 15  1  1  1  1  1  9 11  7 13 11 13  7  1 11 13  7  1 11 13  7  1  8 14  4  2  8 14  4  2  8 14  4  2  8 14  4  2  0
 0  0  8  0  8  0  8  0  8  8  0  8  0  0  0  8  0  0  8  8  8  0  8  8  8  0  8  0  8  0  0  0  8  8  0  8  0  8  0  8  8  0  8  0  8  8  0  0  0  8  8  0  0  8  0  8  8  0  8  0  0  8  0  8  8  8  0  0  8  8  0  0  0  0  8  8  0  0  8  8  0
 0  0  0  8  8  8  8  0  0  0  8  8  8  8  8  8  0  0  0  8  8  0  0  0  8  0  0  0  8  8  8  8  8  0  0  0  8  0  0  8  8  8  0  0  8  0  8  0  0  0  8  8  8  0  0  8  8  0  0  8  0  8  8  0  0  8  8  0  8  0  0  8  8  0  0  8  0  8  8  0  0

generates a code of length 81 over Z16 who´s minimum homogenous weight is 79.

Homogenous weight enumerator: w(x)=1x^0+128x^79+62x^80+640x^81+62x^82+128x^83+1x^96+1x^98+1x^130

The gray image is a code over GF(2) with n=648, k=10 and d=316.
This code was found by Heurico 1.16 in 3.88 seconds.