The generator matrix

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

generates a code of length 18 over Z2[X]/(X^2) who´s minimum homogenous weight is 10.

Homogenous weight enumerator: w(x)=1x^0+78x^10+236x^12+516x^14+711x^16+948x^18+818x^20+500x^22+208x^24+70x^26+10x^28

The gray image is a linear code over GF(2) with n=36, k=12 and d=10.
This code was found by Heurico 1.10 in 0.093 seconds.