The generator matrix

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

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+124x^16+96x^17+408x^18+396x^19+747x^20+560x^21+770x^22+392x^23+385x^24+80x^25+100x^26+12x^27+21x^28+2x^30+2x^32

The gray image is a linear code over GF(2) with n=84, k=12 and d=32.
This code was found by Heurico 1.16 in 0.18 seconds.