The generator matrix

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

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+74x^14+198x^15+641x^16+1100x^17+2522x^18+3206x^19+5963x^20+5238x^21+5974x^22+3382x^23+2596x^24+1058x^25+574x^26+122x^27+76x^28+26x^29+8x^30+4x^31+2x^32+2x^33+1x^36

The gray image is a linear code over GF(2) with n=84, k=15 and d=28.
This code was found by Heurico 1.16 in 7.62 seconds.