The generator matrix

 1  0  0  1  1  1  X  1  1  0 X^2  1 X^2  1  1 X^2+X  1  X  1  1  1
 0  1  0  1  X X^2+X+1  1 X^2+X  1  X  1  1  1 X^2+X+1  0  1 X^2+X+1  0 X^2+X+1  X  0
 0  0  1  1  1  0  1  X X^2+X  1  1 X+1 X^2+X+1 X^2  X X^2+X X^2+1 X^2  X  1  0
 0  0  0  X  0 X^2+X X^2 X^2+X  0 X^2+X X^2 X^2+X X^2+X  X  0 X^2+X X^2+X X^2+X X^2 X^2  0
 0  0  0  0 X^2 X^2 X^2 X^2  0 X^2  0 X^2  0  0 X^2  0  0 X^2 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+95x^16+234x^17+346x^18+460x^19+597x^20+640x^21+581x^22+528x^23+318x^24+162x^25+92x^26+20x^27+13x^28+4x^29+5x^30

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 0.152 seconds.