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

generates a code of length 43 over Z2[X]/(X^2) who´s minimum homogenous weight is 41.

Homogenous weight enumerator: w(x)=1x^0+14x^41+11x^42+16x^43+12x^44+4x^46+3x^48+2x^57+1x^58

The gray image is a linear code over GF(2) with n=86, k=6 and d=41.
This code was found by Heurico 1.16 in 0.0646 seconds.