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

generates a code of length 97 over Z16 who´s minimum homogenous weight is 93.

Homogenous weight enumerator: w(x)=1x^0+124x^93+100x^94+288x^95+232x^96+648x^97+228x^98+220x^99+42x^100+84x^101+32x^102+32x^103+4x^104+8x^105+4x^107+1x^184

The gray image is a code over GF(2) with n=776, k=11 and d=372.
This code was found by Heurico 1.16 in 35.3 seconds.