The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+21x^86+88x^87+229x^88+382x^89+580x^90+920x^91+1482x^92+2506x^93+3528x^94+5822x^95+5758x^96+7588x^97+7352x^98+8098x^99+6266x^100+5530x^101+3308x^102+2666x^103+1390x^104+732x^105+476x^106+260x^107+177x^108+102x^109+77x^110+54x^111+47x^112+40x^113+11x^114+10x^115+7x^116+14x^117+4x^118+2x^119+2x^120+2x^121+1x^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 91.3 seconds.