The generator matrix

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

generates a code of length 90 over Z2[X]/(X^2) who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+24x^84+42x^85+71x^86+66x^87+46x^88+54x^89+33x^90+34x^91+19x^92+22x^93+15x^94+10x^95+10x^96+6x^97+16x^98+6x^99+5x^100+4x^102+12x^103+5x^104+4x^105+1x^106+2x^110+2x^112+1x^114+1x^122

The gray image is a linear code over GF(2) with n=180, k=9 and d=84.
This code was found by Heurico 1.10 in 0.031 seconds.