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

generates a code of length 97 over Z16 who´s minimum homogenous weight is 96.

Homogenous weight enumerator: w(x)=1x^0+15x^96+212x^97+16x^98+12x^105

The gray image is a code over GF(2) with n=776, k=8 and d=384.
This code was found by Heurico 1.16 in 0.9 seconds.