The generator matrix

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

generates a code of length 27 over Z2[X]/(X^3) who´s minimum homogenous weight is 25.

Homogenous weight enumerator: w(x)=1x^0+64x^25+53x^26+48x^27+30x^28+32x^29+10x^30+16x^31+1x^32+1x^42

The gray image is a linear code over GF(2) with n=108, k=8 and d=50.
This code was found by Heurico 1.16 in 0.011 seconds.