The generator matrix 1 0 0 1 1 1 1 1 1 2X 1 1 X 1 1 1 1 1 1 0 1 0 2X 1 2X+1 2 0 X+2 1 2X+2 2X 1 X+2 2X+2 X 2 X+1 0 0 0 1 2X+1 1 2X 2X+2 2 X 1 X+2 X+1 X 2X+2 2X X+1 1 2 0 generates a code of length 19 over Z3[X]/(X^2) who´s minimum homogenous weight is 33. Homogenous weight enumerator: w(x)=1x^0+96x^33+280x^36+180x^39+102x^42+70x^45 The gray image is a linear code over GF(3) with n=57, k=6 and d=33. This code was found by Heurico 1.16 in 0.00229 seconds.