The generator matrix 1 0 0 1 1 1 0 X^2 1 1 X^2+X 1 1 X 1 X^2 1 X 1 1 1 0 1 0 0 X^2+1 X^2+1 1 X X^2 1 1 X^2+X X+1 1 X^2+X 1 X 1 X^2+1 X^2+X+1 0 0 0 1 X+1 X^2+X+1 X^2 X^2+X+1 1 X X^2+1 X+1 1 X^2 X^2+X X^2+X 0 X+1 X^2 X^2 X^2+X X 0 0 0 X^2 X^2 0 X^2 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 0 X^2 0 0 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+147x^18+108x^19+256x^20+72x^21+238x^22+48x^23+77x^24+24x^25+47x^26+4x^27+2x^28 The gray image is a linear code over GF(2) with n=84, k=10 and d=36. This code was found by Heurico 1.16 in 0.0145 seconds.