The generator matrix

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

generates a code of length 43 over Z2[X]/(X^2) who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+42x^40+16x^42+40x^44+16x^46+12x^48+1x^80

The gray image is a linear code over GF(2) with n=86, k=7 and d=40.
This code was found by Heurico 1.16 in 0.0108 seconds.