The generator matrix

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

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+150x^23+156x^24+218x^25+126x^26+136x^27+52x^28+80x^29+32x^30+50x^31+15x^32+6x^33+2x^34

The gray image is a linear code over GF(2) with n=104, k=10 and d=46.
This code was found by Heurico 1.16 in 50.4 seconds.