The generator matrix 1 1 1 1 1 1 1 1 1 X 0 1 X 1 1 X 0 X 0 X^2 1 0 X 0 X^2+X 0 X^2+X 0 X^2+X X^2 X^2+X X X^2 X^2+X X^2 X^2 X^2+X X X X X 0 0 0 X^2 0 0 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 0 X^2 0 0 X^2 X^2 0 0 0 0 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 0 0 generates a code of length 21 over Z2[X]/(X^3) who´s minimum homogenous weight is 19. Homogenous weight enumerator: w(x)=1x^0+40x^19+14x^20+16x^21+14x^22+40x^23+1x^24+1x^26+1x^34 The gray image is a linear code over GF(2) with n=84, k=7 and d=38. This code was found by Heurico 1.16 in 0.133 seconds.