The generator matrix

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

generates a code of length 26 over Z2[X]/(X^3) who´s minimum homogenous weight is 23.

Homogenous weight enumerator: w(x)=1x^0+80x^23+110x^24+64x^26+160x^27+64x^28+16x^31+15x^32+2x^40

The gray image is a linear code over GF(2) with n=104, k=9 and d=46.
This code was found by Heurico 1.16 in 81.5 seconds.