The generator matrix

 1  0  0  1  1  1  0  X  1 X^2  1  1  1  X  1  1  1  1  X X^2  1  1  1  1  1  0
 0  1  0  0  1  1  1 X^2 X^2+1  1 X^2+X+1  X X^2  1  X X+1 X+1 X^2+X  1  1  1 X^2+1  1 X+1 X^2+1  1
 0  0  1  1 X^2 X^2+1  1  1  X X^2+X X+1 X^2+X+1 X^2+X X^2+X+1  1 X^2 X^2+X X^2+1  X X^2+X  X X^2+X+1 X^2  X  1 X^2+X+1
 0  0  0 X^2  0 X^2 X^2 X^2 X^2 X^2  0  0 X^2  0  0 X^2  0 X^2 X^2  0  0 X^2 X^2 X^2  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+162x^23+169x^24+178x^25+106x^26+172x^27+47x^28+76x^29+52x^30+50x^31+6x^32+2x^33+2x^34+1x^36

The gray image is a linear code over GF(2) with n=104, k=10 and d=46.
This code was found by Heurico 1.11 in 602 seconds.