The generator matrix

 1  0  0  1  1  1  X  1  1  0  0  X  1  1  1  0  X  0  0  X  0  1  1  1  1  1  1  1  X  0  X  0  X  0  1  0  1  1  0  1  X  1  1  0  1  1  0  X  0  X  1  1  X  0  0  X  1  1  X  1  1  0  X  0  1  1  X  0  1  1  1  1  X  1  1  X  1  1  X  X  0  0  1  0  1  X  0  X  0  X
 0  1  0  0  1  1  1  0  X  X  1  1  1  1  X  1  1  X  1  1  X  0  1 X+1  0  0 X+1  1  1  1  1  1  1  1  X  1  X X+1  0  1  1  X  1  1  0  1  X  1  1  1  0 X+1  1  1  0  1  X  X  X X+1 X+1  0  0  1  0 X+1  1  0  0 X+1  X X+1  X  X  1  0  X  X  0  0  1  X  1  1  0  1  X  1  1  1
 0  0  1  1  1  0  1  X X+1  1  0  1 X+1  0  X  X  1  1  0 X+1  1 X+1  1  0  X X+1  1  X X+1  1  1  1  1  1  1  0  X  0  1  1 X+1 X+1 X+1  0  X  0  1  1 X+1  1  X  1 X+1  0  1 X+1 X+1  X  0  X X+1  1  X  X X+1  0 X+1  X  0 X+1  0  1  X  1  X  0 X+1  0  1  1 X+1  1 X+1  X  1  0  1 X+1 X+1  1
 0  0  0  X  0  0  0  0  0  0  0  0  X  X  X  X  X  X  X  X  X  0  X  X  X  X  0  0  0  X  0  X  X  0  0  X  0  0  X  0  0  0  0  X  0  0  X  X  X  X  0  0  X  0  0  X  X  0  X  X  0  0  X  0  X  X  X  X  0  0  0  0  X  0  0  X  X  X  0  X  0  X  X  0  X  0  0  0  0  0
 0  0  0  0  X  0  0  X  X  X  X  X  0  X  0  X  0  0  0  X  X  X  X  X  X  0  0  0  X  0  0  X  X  0  0  0  X  X  X  0  0  0  X  X  0  X  0  X  0  0  0  X  0  0  X  X  X  X  X  0  0  0  X  X  X  0  0  0  X  0  0  X  X  0  X  0  X  0  0  X  X  X  X  0  0  0  X  X  0  0
 0  0  0  0  0  X  0  0  0  X  X  X  0  X  0  0  X  X  X  0  0  X  0  0  0  X  0  0  0  0  X  X  X  X  0  0  X  X  X  X  X  X  X  X  X  0  0  0  X  0  0  0  X  X  0  X  X  0  X  0  0  X  X  0  0  X  0  0  X  X  X  X  0  X  0  X  0  X  X  0  0  X  X  X  0  X  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+37x^84+54x^85+40x^86+62x^87+65x^88+50x^89+24x^90+34x^91+33x^92+10x^93+15x^94+18x^95+17x^96+4x^97+8x^98+6x^99+1x^100+4x^101+2x^102+2x^103+1x^104+6x^105+4x^106+4x^107+1x^108+1x^110+2x^111+4x^116+2x^118

The gray image is a linear code over GF(2) with n=180, k=9 and d=84.
This code was found by Heurico 1.16 in 0.156 seconds.