The generator matrix

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

generates a code of length 89 over Z2[X]/(X^2) who´s minimum homogenous weight is 86.

Homogenous weight enumerator: w(x)=1x^0+100x^86+40x^88+62x^90+12x^92+22x^94+9x^96+2x^98+2x^104+4x^106+2x^110

The gray image is a linear code over GF(2) with n=178, k=8 and d=86.
This code was found by Heurico 1.16 in 7.8 seconds.