The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  0  1  X X^2  1  X  X
 0  X  0  X  0 X^2  X X^2+X  0 X^2  X X^2+X  0  0 X^2+X X^2+X  0 X^2 X^2+X X^2+X  X X^2+X X^2  X  X  X X^2+X
 0  0  X  X  0  X X^2+X X^2  0  X  X  0  0 X^2+X  X X^2 X^2 X^2  0 X^2+X X^2  X  0  X  0 X^2+X X^2
 0  0  0 X^2  0  0 X^2  0 X^2 X^2  0 X^2 X^2 X^2  0 X^2 X^2  0  0  0  0 X^2 X^2 X^2  0  0  0
 0  0  0  0 X^2 X^2 X^2 X^2 X^2 X^2  0 X^2  0  0 X^2  0  0  0  0 X^2 X^2  0  0 X^2 X^2  0  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+114x^24+64x^25+128x^27+91x^28+64x^29+45x^32+4x^36+1x^44

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 0.412 seconds.