The generator matrix
1 1 1 1 1 1 1 1 1
0 X 0 0 0 0 0 0 0
0 0 X 0 0 0 0 0 0
0 0 0 X 0 0 0 0 0
0 0 0 0 X 0 0 0 0
0 0 0 0 0 X 0 0 0
0 0 0 0 0 0 X 0 0
0 0 0 0 0 0 0 X 0
0 0 0 0 0 0 0 0 X
generates a code of length 9 over Z2[X]/(X^2) who´s minimum homogenous weight is 2.
Homogenous weight enumerator: w(x)=1x^0+9x^2+36x^4+84x^6+126x^8+512x^9+126x^10+84x^12+36x^14+9x^16+1x^18
The gray image is a linear code over GF(2) with n=18, k=10 and d=2.
This code was found by Heurico 1.16 in 0.00214 seconds.