The generator matrix

1 0 0 0 0 0 1 1 1 X 0 0 0 0 1 1 1 1 0 1 1 X 1 1 1 X X 1 1 1 0 1 1 0 X 0 1 1 X X 1 X 1 1 1 1 X 1 1 X 0 1 X 0 0 0 X 1 1 0 1 0 1 X X 0 1 1 1 0 X X 1 1 0 1 0 1 1 X X 1 X 1 0 0 1 X X X 1 1 0 X X 0 1 1
0 1 0 0 0 0 0 0 0 0 1 X 1 1 0 X X+1 X+1 1 1 X+1 X 1 X+1 1 1 X 0 X X+1 X 1 X 1 1 1 X+1 0 X X X+1 X X X 1 1 1 1 X X 1 1 X 1 X 1 1 0 X 0 X+1 X X X 1 1 X+1 0 X+1 1 1 X X 1 0 X X 0 X 0 0 1 1 1 1 1 X+1 0 1 X X X 1 1 1 X X 0
0 0 1 0 0 0 0 0 0 0 X 1 1 X+1 X+1 1 1 X+1 1 1 1 1 0 X 0 X 1 X+1 X+1 0 1 X+1 0 1 X 0 1 X+1 X 0 0 X 0 X 1 0 X X+1 X 1 X+1 1 1 X X X X+1 X 0 1 X X X+1 1 X+1 1 X 1 X+1 X+1 X+1 1 X+1 0 X X 1 X+1 X+1 0 X X 1 X+1 X 0 0 1 0 1 X+1 0 1 1 1 X 1 X+1
0 0 0 1 0 0 0 1 1 1 1 1 0 1 X X+1 0 1 X X X+1 1 X X X+1 0 X 0 1 X+1 X+1 X+1 X+1 1 1 0 1 X+1 1 0 X 1 0 X 0 1 X X+1 X+1 0 X X+1 X X+1 1 0 1 1 X X+1 X+1 1 X 0 1 X X 1 X+1 X X 0 X X+1 X 0 0 X+1 X 0 0 0 X+1 1 1 X+1 X+1 X+1 1 1 X X X X X+1 1 1 1
0 0 0 0 1 0 1 0 X+1 1 1 1 X X+1 1 X 1 X X+1 0 X+1 X X+1 X X 1 X+1 X 1 X+1 0 1 X+1 0 0 X+1 X X+1 X 1 1 X+1 1 0 X X X+1 0 X+1 X X 1 1 X+1 X X X X 0 0 1 1 1 1 0 X+1 X 1 X+1 0 1 1 1 X+1 1 1 1 0 X+1 X 0 X+1 1 1 X+1 1 X X+1 0 1 X X+1 1 1 X+1 0 0 X
0 0 0 0 0 1 1 X+1 X 1 0 X 1 X+1 X 0 X+1 1 0 0 X X+1 X 1 X X+1 1 X+1 X+1 1 X+1 X 0 X X+1 X+1 1 X+1 X 0 X X+1 X X+1 X+1 1 X 0 1 X+1 0 1 X X+1 X+1 X+1 1 0 1 X X X 1 1 0 X+1 X+1 X 1 1 0 0 X 0 X+1 X+1 1 X X+1 1 1 X+1 X X+1 0 0 X+1 X X+1 X X 1 X+1 0 X+1 0 0 0
0 0 0 0 0 0 X X 0 0 0 0 0 0 X X X X 0 X X 0 X X X 0 0 X X 0 X 0 X X X X 0 0 X X 0 X 0 X 0 0 X 0 0 X X 0 0 0 X X X 0 0 0 0 X 0 X 0 X 0 0 X X 0 0 X 0 X 0 X 0 0 X 0 0 X 0 0 X X X X X 0 0 X X X X X 0

generates a code of length 98 over Z2[X]/(X^2) who´s minimum homogenous weight is 85.

Homogenous weight enumerator: w(x)=1x^0+52x^85+136x^86+218x^87+263x^88+270x^89+327x^90+360x^91+396x^92+404x^93+414x^94+428x^95+394x^96+398x^97+418x^98+398x^99+363x^100+374x^101+317x^102+348x^103+338x^104+268x^105+271x^106+242x^107+195x^108+156x^109+127x^110+86x^111+69x^112+46x^113+35x^114+24x^115+26x^116+14x^117+2x^118+8x^119+2x^120+2x^121+1x^122+1x^128

The gray image is a linear code over GF(2) with n=196, k=13 and d=85.
This code was found by Heurico 1.10 in 5.05 seconds.