The generator matrix

 1  0  0  1  1  1  0 X^2  1  1 X^2  1 X^2+X  1  1  X  1  0  1  1  X  1  1  X X^2+X X^2  1  1  X
 0  1  0  0 X^2+1 X^2+1  1  X X^2  1  1 X^2+X  1 X+1  X  X  X  1  1 X^2+X+1  1 X^2+X+1 X^2  1  1  1  1 X^2+X  1
 0  0  1 X+1 X^2+X+1 X^2 X^2+X+1  1  X X^2+1  1  1  0 X^2 X^2+X  1 X+1 X^2+X  1 X^2 X^2+1 X^2+X X^2+1  X X+1 X^2  X X^2+X+1  1
 0  0  0 X^2 X^2  0 X^2 X^2 X^2  0  0  0 X^2  0 X^2  0  0  0 X^2 X^2 X^2 X^2 X^2  0 X^2 X^2 X^2 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+229x^26+367x^28+212x^30+125x^32+69x^34+19x^36+2x^38

The gray image is a linear code over GF(2) with n=116, k=10 and d=52.
This code was found by Heurico 1.16 in 0.03 seconds.