The generator matrix

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

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+68x^21+111x^22+128x^23+325x^24+512x^25+596x^26+640x^27+596x^28+504x^29+306x^30+128x^31+97x^32+64x^33+4x^34+4x^36+4x^37+7x^38+1x^40

The gray image is a linear code over GF(2) with n=108, k=12 and d=42.
This code was found by Heurico 1.16 in 61.2 seconds.