The generator matrix

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

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+30x^24+136x^25+97x^26+68x^27+50x^28+46x^29+38x^30+24x^31+6x^32+14x^33+1x^36+1x^38

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 0.00711 seconds.