The generator matrix

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

generates a code of length 99 over Z2[X]/(X^2) who´s minimum homogenous weight is 88.

Homogenous weight enumerator: w(x)=1x^0+129x^88+360x^90+429x^92+468x^94+439x^96+394x^98+350x^100+354x^102+289x^104+300x^106+213x^108+154x^110+90x^112+64x^114+40x^116+16x^118+4x^120+2x^122

The gray image is a linear code over GF(2) with n=198, k=12 and d=88.
This code was found by Heurico 1.10 in 1.34 seconds.