The generator matrix

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

generates a code of length 26 over Z2[X]/(X^2) who´s minimum homogenous weight is 22.

Homogenous weight enumerator: w(x)=1x^0+38x^22+91x^24+32x^26+52x^28+14x^30+15x^32+12x^34+1x^40

The gray image is a linear code over GF(2) with n=52, k=8 and d=22.
This code was found by Heurico 1.16 in 0.0049 seconds.