The generator matrix

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

generates a code of length 97 over Z16 who´s minimum homogenous weight is 88.

Homogenous weight enumerator: w(x)=1x^0+347x^88+552x^89+1252x^90+1728x^91+2927x^92+3988x^93+5088x^94+6544x^95+6784x^96+7416x^97+7136x^98+6556x^99+5077x^100+3660x^101+2532x^102+1572x^103+948x^104+524x^105+384x^106+164x^107+203x^108+48x^109+44x^110+12x^111+27x^112+4x^113+12x^114+1x^116+5x^120

The gray image is a code over GF(2) with n=776, k=16 and d=352.
This code was found by Heurico 1.16 in 94.4 seconds.