The generator matrix

 1  0  0  1  1  1  0  X  1 X^2  1  1  X  1  0 X^2+X  X X^2  0  X  1  0  1 X^2  1  1  X
 0  1  0  0  1  1  1 X^2 X^2+1  1 X^2 X+1  1  X  1  1  1  1 X^2+X  1 X^2+X  1  1  0  1  X  0
 0  0  1  1 X^2 X^2+1  1  1  X X^2+X X^2+X X^2+1 X^2+X+1  1  X X^2+1  0  1  1 X^2 X^2 X^2+X+1 X^2+X  1 X^2+X+1  X  0
 0  0  0 X^2  0 X^2 X^2 X^2 X^2 X^2 X^2  0  0  0  0  0 X^2  0  0 X^2  0 X^2  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+204x^24+124x^25+154x^26+136x^27+154x^28+76x^29+80x^30+36x^31+35x^32+8x^33+6x^34+4x^35+6x^36

The gray image is a linear code over GF(2) with n=108, k=10 and d=48.
This code was found by Heurico 1.11 in 0.063 seconds.