The generator matrix

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

generates a code of length 21 over Z2[X]/(X^3) who´s minimum homogenous weight is 14.

Homogenous weight enumerator: w(x)=1x^0+28x^14+64x^15+183x^16+192x^17+886x^18+448x^19+1967x^20+640x^21+1990x^22+448x^23+892x^24+192x^25+162x^26+64x^27+24x^28+6x^30+4x^32+1x^36

The gray image is a linear code over GF(2) with n=84, k=13 and d=28.
This code was found by Heurico 1.16 in 0.581 seconds.