The generator matrix

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

generates a code of length 22 over Z2[X]/(X^3) who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+18x^18+44x^19+83x^20+24x^21+191x^22+32x^23+67x^24+8x^25+14x^26+20x^27+9x^28+1x^38

The gray image is a linear code over GF(2) with n=88, k=9 and d=36.
This code was found by Heurico 1.16 in 0.00832 seconds.