The generator matrix

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

generates a code of length 89 over Z2[X]/(X^2) who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+151x^84+204x^88+90x^92+27x^96+21x^100+6x^104+6x^108+2x^112+4x^116

The gray image is a linear code over GF(2) with n=178, k=9 and d=84.
This code was found by Heurico 1.16 in 3.89 seconds.