The generator matrix

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

generates a code of length 29 over Z2[X]/(X^3) who´s minimum homogenous weight is 26.

Homogenous weight enumerator: w(x)=1x^0+105x^26+174x^28+128x^30+77x^32+22x^34+2x^36+2x^40+1x^42

The gray image is a linear code over GF(2) with n=116, k=9 and d=52.
This code was found by Heurico 1.16 in 0.0126 seconds.