The generator matrix

 1  0  1  1  1 X^2  1  1  0  1  1  0  0  X  1  1  1  1  X  1  1  1  1  1  X  1  X
 0  1  1  0 X+1  1 X^2+X+1  0  1 X^2  1  1  1  1 X+1  X  X  1  1 X^2+X X+1 X+1  0  X  1  0 X^2
 0  0  X  0  0  0  0 X^2+X X^2+X X^2+X  X X^2+X X^2 X^2 X^2+X  X X^2+X X^2  X  0 X^2  X  0 X^2 X^2+X X^2  0
 0  0  0  X X^2 X^2+X X^2+X X^2+X X^2+X X^2  X  0  0 X^2+X  X X^2 X^2+X  X  X X^2  0  0 X^2+X  X X^2 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+274x^24+232x^26+316x^28+144x^30+43x^32+8x^34+4x^36+2x^40

The gray image is a linear code over GF(2) with n=108, k=10 and d=48.
This code was found by Heurico 1.16 in 0.0911 seconds.