The generator matrix

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

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+144x^25+200x^26+374x^27+222x^28+324x^29+174x^30+262x^31+115x^32+136x^33+36x^34+34x^35+14x^36+4x^37+6x^38+2x^39

The gray image is a linear code over GF(2) with n=116, k=11 and d=50.
This code was found by Heurico 1.16 in 0.0768 seconds.