The generator matrix

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

generates a code of length 21 over Z2[X]/(X^3) who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+34x^16+52x^17+98x^18+108x^19+128x^20+208x^21+129x^22+96x^23+79x^24+28x^25+28x^26+20x^27+14x^28+1x^30

The gray image is a linear code over GF(2) with n=84, k=10 and d=32.
This code was found by Heurico 1.16 in 0.0199 seconds.