The generator matrix

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

generates a code of length 11 over Z2[X]/(X^2) who´s minimum homogenous weight is 8.

Homogenous weight enumerator: w(x)=1x^0+13x^8+6x^9+9x^10+12x^11+2x^12+8x^13+6x^14+4x^15+2x^17+1x^18

The gray image is a linear code over GF(2) with n=22, k=6 and d=8.
This code was found by Heurico 1.16 in 0.000329 seconds.