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

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

Homogenous weight enumerator: w(x)=1x^0+4x^96+92x^97+6x^98+12x^99+3x^100+6x^101+2x^105+1x^106+1x^110

The gray image is a code over GF(2) with n=776, k=7 and d=384.
This code was found by Heurico 1.16 in 0.561 seconds.