The generator matrix 1 0 0 1 1 1 X X^2+X 0 X^2 1 1 1 1 1 1 1 1 1 1 1 0 1 0 X^2 X^2+1 1 1 1 1 X X X+1 X^2+X X X^2+X+1 X+1 X^2+X X^2+X+1 X^2 0 0 0 0 1 X^2+X+1 X+1 X^2 X^2+1 X+1 X^2+X 1 X^2+X+1 X^2 X^2+1 X^2+X X+1 1 0 X X^2+X X^2+X 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+18x^18+116x^19+125x^20+92x^21+38x^22+46x^23+26x^24+32x^25+15x^26+2x^27+1x^30 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 0.00428 seconds.