The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  X  X
 0  X  0  0  0  0  0  0  0  0  0  0  0  X  X  X  0  X  X  X  0  X  X  0  X  X  0  X  X  X  X  X  0  0  0  0  0  X  0  X  X  X  0
 0  0  X  0  0  0  0  0  0  0  X  X  X  0  0  0  X  X  X  0  X  X  X  X  X  X  X  X  X  0  0  0  0  0  0  0  X  X  X  X  X  0  X
 0  0  0  X  0  0  0  X  X  X  X  X  0  X  X  0  X  0  0  X  X  0  0  0  X  X  0  X  X  X  0  0  0  0  0  X  X  0  0  0  X  X  0
 0  0  0  0  X  0  X  X  X  0  0  0  0  0  0  0  X  0  X  X  X  0  X  X  X  0  X  X  0  X  X  X  0  0  X  X  0  0  0  0  0  X  X
 0  0  0  0  0  X  X  0  X  X  0  X  X  0  X  X  X  0  X  X  0  X  0  0  0  X  X  X  0  0  0  X  0  X  X  0  0  0  0  X  X  X  X

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+34x^40+24x^42+48x^44+8x^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 0.0115 seconds.