The generator matrix

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

generates a code of length 41 over Z2[X]/(X^2) who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+2x^42+8x^43+3x^44+1x^46+1x^50

The gray image is a linear code over GF(2) with n=82, k=4 and d=42.
This code was found by Heurico 1.16 in 0.00672 seconds.