The generator matrix

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

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+116x^24+120x^26+222x^28+8x^30+42x^32+2x^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 0.0374 seconds.