The generator matrix 1 0 0 0 0 1 1 1 1 1 X 1 2X 0 2X 1 0 1 1 1 1 X X 1 1 1 2X 1 1 1 1 1 1 0 1 0 0 0 2X 1 1 2X+2 X 0 X+1 1 1 2X 2X+1 1 0 X+2 X 0 1 2X 1 2X+2 X+1 1 X 2 2 2X+2 X 2X 0 0 1 0 0 0 0 2X X 2X X 0 X 2X+2 1 2X+2 2 1 1 2 2X+2 X+1 1 X+1 X+1 2X+1 1 X+2 2X 1 2X+1 X 2X 0 0 0 1 0 2X+1 1 X+2 0 2X+2 1 2X 2X+1 2X 2X+2 2X 2X+1 2X 1 2 1 2X+2 2X X+1 2X+1 2 X+2 2X+2 2X X+1 0 X+2 2X+2 0 0 0 0 1 2X+2 X 2X+2 X+1 X+1 1 2X+1 2X+2 1 2X+1 X+2 2X X+1 2X+2 2 2 2X+2 1 1 2X 2X+2 X+1 0 2X X+1 1 2 X+1 generates a code of length 33 over Z3[X]/(X^2) who´s minimum homogenous weight is 54. Homogenous weight enumerator: w(x)=1x^0+692x^54+2946x^57+6888x^60+10830x^63+14196x^66+13458x^69+7692x^72+2028x^75+282x^78+36x^81 The gray image is a linear code over GF(3) with n=99, k=10 and d=54. This code was found by Heurico 1.16 in 32.9 seconds.