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

generates a code of length 43 over Z2[X]/(X^2) who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+27x^38+54x^40+48x^42+48x^44+50x^46+24x^48+3x^54+1x^80

The gray image is a linear code over GF(2) with n=86, k=8 and d=38.
This code was found by Heurico 1.16 in 0.016 seconds.