The generator matrix

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

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+158x^25+260x^26+252x^27+275x^28+244x^29+244x^30+226x^31+202x^32+102x^33+36x^34+32x^35+1x^36+8x^37+4x^38+2x^39+1x^40

The gray image is a linear code over GF(2) with n=116, k=11 and d=50.
This code was found by Heurico 1.11 in 0.265 seconds.