The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+58x^88+492x^89+872x^90+2104x^91+2885x^92+4260x^93+5289x^94+6532x^95+6942x^96+7314x^97+6886x^98+6438x^99+5106x^100+4188x^101+2601x^102+1730x^103+798x^104+482x^105+194x^106+168x^107+65x^108+56x^109+23x^110+18x^111+13x^112+6x^113+4x^114+4x^116+3x^118+2x^121+2x^123

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 65 seconds.