The generator matrix

 1  0  1  1  1 X^2  X  1  1  1  1  0  1  1  1  X  0 X^2+X  X  1  1  1  0  1  X  X  1  1  0
 0  1  1 X^2+X X^2+X+1  1  1 X^2 X^2+1  X X+1  1 X^2+1 X+1 X^2+X+1  1  1  1  1  1 X+1 X^2+1  1 X^2  1  X X^2  1  0
 0  0  X  0 X^2+X  X X^2+X  X X^2 X^2+X  0  0 X^2 X^2  X  X  X  0 X^2  X X^2+X X^2+X X^2  X X^2+X  X X^2 X^2  X
 0  0  0 X^2  0 X^2  0  0 X^2 X^2  0 X^2 X^2  0 X^2 X^2  0 X^2  0 X^2  0  0 X^2  0 X^2  0  0  0 X^2
 0  0  0  0 X^2 X^2  0 X^2  0  0 X^2  0 X^2  0  0  0 X^2 X^2 X^2 X^2  0 X^2 X^2  0 X^2 X^2 X^2  0  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+68x^25+139x^26+120x^27+130x^28+148x^29+120x^30+124x^31+91x^32+36x^33+24x^34+8x^35+2x^36+4x^37+4x^38+4x^39+1x^42

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 0.151 seconds.