The generator matrix

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

generates a code of length 97 over Z16 who´s minimum homogenous weight is 89.

Homogenous weight enumerator: w(x)=1x^0+366x^89+1026x^90+1788x^91+3284x^92+4268x^93+5601x^94+6182x^95+7131x^96+7260x^97+7379x^98+5728x^99+5218x^100+3702x^101+2773x^102+1690x^103+1046x^104+546x^105+185x^106+144x^107+111x^108+50x^109+26x^110+20x^111+5x^112+2x^114+3x^116+1x^120

The gray image is a code over GF(2) with n=776, k=16 and d=356.
This code was found by Heurico 1.16 in 64 seconds.