The generator matrix
1 1 1 1 1 1 1 1 1
0 X 0 0 0 X 0 0 X
0 0 X 0 0 X 0 X X
0 0 0 X 0 X X X 0
0 0 0 0 X X X 0 0
generates a code of length 9 over Z2[X]/(X^2) who´s minimum homogenous weight is 6.
Homogenous weight enumerator: w(x)=1x^0+6x^6+9x^8+32x^9+9x^10+6x^12+1x^18
The gray image is a linear code over GF(2) with n=18, k=6 and d=6.
This code was found by Heurico 1.16 in 0.00024 seconds.