The generator matrix

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

generates a code of length 19 over Z2[X]/(X^2) who´s minimum homogenous weight is 14.

Homogenous weight enumerator: w(x)=1x^0+22x^14+140x^16+104x^18+117x^20+62x^22+59x^24+4x^26+3x^28

The gray image is a linear code over GF(2) with n=38, k=9 and d=14.
This code was found by an older version of Heurico in 0 seconds.