The generator matrix

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

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+40x^24+104x^25+132x^26+46x^27+69x^28+52x^29+15x^30+14x^31+26x^32+8x^33+5x^34

The gray image is a linear code over GF(2) with n=108, k=9 and d=48.
This code was found by Heurico 1.11 in 3.81e-009 seconds.