The generator matrix

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

generates a code of length 92 over Z2[X]/(X^2) who´s minimum homogenous weight is 88.

Homogenous weight enumerator: w(x)=1x^0+21x^88+58x^89+33x^90+28x^91+30x^92+24x^93+14x^94+7x^96+10x^97+12x^98+4x^99+2x^100+2x^102+3x^104+3x^106+2x^113+2x^121

The gray image is a linear code over GF(2) with n=184, k=8 and d=88.
This code was found by an older version of Heurico in 0 seconds.