The generator matrix

 1  0  1  1  1  0  1  1  0  1  1  0  1  1  1  1  X  1  X  X  1  X  X  0  1  0  0
 0  1  1  0 X+1  1  0 X+1  1  0  1  1  X  X  X  X  0 X+1  1  X X+1  0  1  X  1  0  X
 0  0  X  0  X  0  X  0  X  X  0  X  X  X  0  0  X  0  X  X  X  0  X  X  X  X  0
 0  0  0  X  X  X  X  0  0  0  X  X  0  X  X  0  X  X  0  0  0  X  X  0  X  X  0

generates a code of length 27 over Z2[X]/(X^2) who´s minimum homogenous weight is 25.

Homogenous weight enumerator: w(x)=1x^0+16x^25+10x^26+8x^27+14x^28+4x^29+6x^30+1x^32+4x^33

The gray image is a linear code over GF(2) with n=54, k=6 and d=25.
This code was found by Heurico 1.16 in 0.00566 seconds.