The generator matrix

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

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+24x^25+39x^26+24x^27+6x^28+8x^29+16x^30+8x^31+1x^32+1x^34

The gray image is a linear code over GF(2) with n=108, k=7 and d=50.
This code was found by Heurico 1.16 in 0.00485 seconds.