The generator matrix

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

generates a code of length 10 over Z2[X]/(X^2) who´s minimum homogenous weight is 6.

Homogenous weight enumerator: w(x)=1x^0+32x^6+48x^7+51x^8+80x^9+77x^10+80x^11+74x^12+48x^13+18x^14+2x^16+1x^18

The gray image is a linear code over GF(2) with n=20, k=9 and d=6.
This code was found by Heurico 1.10 in 0 seconds.