The generator matrix

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

generates a code of length 97 over Z16 who´s minimum homogenous weight is 86.

Homogenous weight enumerator: w(x)=1x^0+28x^86+54x^87+137x^88+316x^89+426x^90+932x^91+1371x^92+1976x^93+2659x^94+3092x^95+3638x^96+3618x^97+3759x^98+3266x^99+2530x^100+1974x^101+1141x^102+726x^103+438x^104+272x^105+132x^106+104x^107+49x^108+28x^109+30x^110+16x^111+13x^112+2x^113+9x^114+2x^115+10x^116+6x^117+3x^118+5x^120+2x^122+3x^126

The gray image is a code over GF(2) with n=776, k=15 and d=344.
This code was found by Heurico 1.16 in 24.2 seconds.