The generator matrix

 1  0  1  1  1 X^2  1  1  0  1  1  0  X  1  1  1  1  0  1  1  X  X X^2+X  1  1  1  1  1  1
 0  1  1  0 X+1  1  1  0  1 X^2 X+1  1  1 X^2+1 X^2+X  X X+1  1  X  X  1  1  1 X^2+X  0 X^2+1 X+1  1 X^2
 0  0  X  0  0 X^2  0 X^2+X X^2+X X^2+X X^2+X X^2+X X^2 X^2  0 X^2  0 X^2 X^2+X  X  X X^2+X X^2  X  0  X  X  X  X
 0  0  0  X X^2  X X^2+X X^2+X X^2+X X^2  X X^2 X^2+X X^2  0  X X^2+X  0 X^2 X^2+X X^2+X X^2 X^2  X X^2 X^2+X X^2  X  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+50x^25+112x^26+186x^27+151x^28+78x^29+142x^30+140x^31+91x^32+38x^33+8x^34+10x^35+3x^36+10x^37+2x^38+2x^40

The gray image is a linear code over GF(2) with n=116, k=10 and d=50.
This code was found by Heurico 1.16 in 0.0259 seconds.