The generator matrix 1 0 1 1 1 X^2 1 X^2+X 1 1 1 X^2 1 1 1 1 1 1 X^2 X X 0 1 1 X^2+X X+1 1 X^2 1 X^2+1 X^2 1 1 X^2 X^2+X X X^2+X X+1 1 1 1 X^2 0 0 X 0 X^2 X^2+X X 0 X^2 X^2+X X^2+X X X^2 0 X X X^2 0 X^2 X^2+X X 0 0 0 X^2 X^2 0 X^2 X^2 0 0 X^2 X^2 X^2 0 0 X^2 0 X^2 X^2 X^2 X^2 generates a code of length 21 over Z2[X]/(X^3) who´s minimum homogenous weight is 18. Homogenous weight enumerator: w(x)=1x^0+52x^18+104x^19+88x^20+56x^21+60x^22+88x^23+41x^24+8x^25+8x^26+6x^28 The gray image is a linear code over GF(2) with n=84, k=9 and d=36. This code was found by Heurico 1.16 in 0.00624 seconds.