The generator matrix 1 0 1 1 1 X^2+X 1 1 0 1 1 X^2+X 1 1 1 1 1 1 X X X 0 1 X+1 X^2+X 1 1 0 X+1 1 X^2+X X^2+1 1 0 X^2 X^2+X X X+1 X^2+1 0 X X 0 0 X^2 0 0 X^2 X^2 0 0 X^2 X^2 X^2 0 X^2 0 X^2 0 0 X^2 0 0 0 0 0 X^2 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 0 0 0 X^2 X^2 X^2 X^2 0 X^2 0 X^2 0 X^2 X^2 0 X^2 0 0 0 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+91x^18+32x^19+117x^20+64x^21+84x^22+32x^23+71x^24+16x^26+3x^28+1x^34 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 0.0102 seconds.