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  0  2 12  2  2  1  2  0  2 12  1  1  1  2  2  2  1  1  2  1  1  2  2  2  2  8  4  8  4  2  2  2  2  8  4  8  4  1  1  1  1  1  1  1  1  2  2  2  2  2  2  2  2  2  2  1
 0  2 12  6  0  6 12 10  0  6 12 10  0  6 12  2  8 14  4  2  8 14  4 10  8 14  4  2  8 14  4 10  6  2 10  2  6  2 10  2  6  2 10  2  0 12  0  6  2 10  2 12  8 12  0  0 12 12 12 12  0  8 14  2 14  2  2  2  2  2 14  2 14  2  2  2  2  2  0  8  0  8  4  4  4  4  8  4  8  4  8  4  0 12  8  4  0
 0  0  8  0  0  8  8  8  8  0  0  8  8  8  0  0  8  8  8  8  0  0  0  0  8  8  8  8  0  0  0  0  0  0  8  8  0  0  8  8  8  8  0  0  8  8  0  8  8  0  0  0  8  8  0  8  0  0  8  8  0  8  8  8  0  0  8  8  0  0  8  8  0  0  8  8  0  0  8  0  8  0  8  8  0  0  8  8  8  0  0  8  0  0  0  0  0
 0  0  0  8  8  8  8  0  8  0  0  8  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  0  0  8  8  8  0  0  8  8  0  8  8  0  8  0  8  0  8  0  8  0  0  8  8  0  0  8  8  0  8  0  0  8  8  0  0  8  8  8  0  0  0  8  8  0  0  0  8  8  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+31x^96+444x^97+31x^98+4x^113+1x^130

The gray image is a code over GF(2) with n=776, k=9 and d=384.
This code was found by Heurico 1.16 in 0.909 seconds.