The generator matrix

 1  0  1  1  1 X^2+X  1  1  1  0  1  1 X^2+X  1  1  1 X^2+X  1  1  1  0  1  X  1  1  X  X
 0  1 X+1 X^2+X  1  1 X+1 X^2+1  0  1 X^2+1 X^2+X  1 X^2+1 X+1  0  1 X+1 X^2+X+1 X^2+X  1 X^2+X+1 X^2+X X^2+1  1  0 X^2
 0  0 X^2  0  0  0 X^2  0 X^2 X^2 X^2 X^2 X^2 X^2  0  0  0  0 X^2  0  0 X^2  0 X^2 X^2 X^2 X^2
 0  0  0 X^2  0 X^2 X^2 X^2 X^2 X^2  0  0  0 X^2  0 X^2  0 X^2 X^2  0 X^2  0  0 X^2  0 X^2  0
 0  0  0  0 X^2  0 X^2 X^2  0  0 X^2  0  0 X^2 X^2  0  0 X^2  0  0  0 X^2 X^2  0 X^2 X^2 X^2

generates a code of length 27 over Z2[X]/(X^3) who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+107x^24+168x^26+129x^28+88x^30+15x^32+3x^36+1x^48

The gray image is a linear code over GF(2) with n=108, k=9 and d=48.
This code was found by Heurico 1.16 in 0.0223 seconds.