The generator matrix

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

generates a code of length 97 over Z2[X]/(X^2) who´s minimum homogenous weight is 88.

Homogenous weight enumerator: w(x)=1x^0+119x^88+254x^90+316x^92+258x^94+226x^96+202x^98+175x^100+126x^102+91x^104+82x^106+67x^108+40x^110+48x^112+18x^114+10x^116+12x^118+3x^120

The gray image is a linear code over GF(2) with n=194, k=11 and d=88.
This code was found by Heurico 1.10 in 0.329 seconds.