The generator matrix

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

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+123x^84+65x^86+152x^88+30x^90+58x^92+20x^94+21x^96+2x^98+17x^100+8x^102+6x^104+2x^108+2x^110+4x^112+1x^118

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 0.185 seconds.