The generator matrix

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

generates a code of length 27 over Z2[X]/(X^3) who´s minimum homogenous weight is 21.

Homogenous weight enumerator: w(x)=1x^0+184x^21+500x^22+870x^23+1406x^24+1634x^25+2353x^26+2240x^27+2617x^28+1838x^29+1408x^30+686x^31+351x^32+198x^33+57x^34+28x^35+9x^36+2x^37+2x^38

The gray image is a linear code over GF(2) with n=108, k=14 and d=42.
This code was found by Heurico 1.13 in 1.22 seconds.