The generator matrix 1 0 1 1 1 1 1 0 1 1 1 1 1 1 1 1 X 1 0 1 1 2 2X+1 0 2 1 X X 2X+1 X+1 X+2 X+2 0 X+1 X 2 0 0 2X 0 X X 2X 2X X 2X 0 2X X 0 2X 0 X 0 generates a code of length 18 over Z3[X]/(X^2) who´s minimum homogenous weight is 33. Homogenous weight enumerator: w(x)=1x^0+84x^33+94x^36+36x^39+24x^42+4x^45 The gray image is a linear code over GF(3) with n=54, k=5 and d=33. This code was found by Heurico 1.16 in 0.00109 seconds.