The generator matrix

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

generates a code of length 29 over Z2[X]/(X^3) who´s minimum homogenous weight is 25.

Homogenous weight enumerator: w(x)=1x^0+24x^25+56x^26+72x^27+70x^28+88x^29+88x^30+48x^31+22x^32+8x^33+16x^34+8x^35+2x^36+8x^37+1x^48

The gray image is a linear code over GF(2) with n=116, k=9 and d=50.
This code was found by Heurico 1.16 in 0.0184 seconds.