The generator matrix 1 0 1 1 1 X 1 1 1 1 X^2+X X^2+X 0 X^2 0 X^2 X 1 X^2 1 1 0 1 1 X^2 X+1 1 X X^2+X+1 X^2+X X^2+1 1 1 1 X 0 1 1 X^2 1 X X+1 0 0 X X^2+X X^2 X^2+X X X^2+X X^2 0 X^2+X 0 X^2 X^2+X X X^2 X X X^2+X X^2+X 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+72x^19+37x^20+72x^21+14x^22+28x^23+9x^24+16x^25+2x^26+4x^27+1x^28 The gray image is a linear code over GF(2) with n=84, k=8 and d=38. This code was found by Heurico 1.16 in 0.00515 seconds.