The generator matrix

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

generates a code of length 98 over Z16 who´s minimum homogenous weight is 86.

Homogenous weight enumerator: w(x)=1x^0+41x^86+86x^87+194x^88+360x^89+588x^90+1146x^91+1437x^92+2990x^93+3360x^94+5502x^95+5581x^96+8636x^97+6370x^98+7760x^99+5596x^100+6070x^101+3393x^102+2810x^103+1303x^104+1006x^105+472x^106+310x^107+167x^108+102x^109+78x^110+30x^111+39x^112+28x^113+24x^114+16x^115+16x^116+6x^117+6x^118+4x^119+1x^120+2x^121+2x^122+2x^126+1x^128

The gray image is a code over GF(2) with n=784, k=16 and d=344.
This code was found by Heurico 1.16 in 91.9 seconds.