The generator matrix 1 0 0 1 1 1 1 1 0 1 1 1 1 1 1 1 X 1 1 0 1 0 1 0 2 1 2 1 0 2X+1 1 2 2X X X+1 1 X+2 0 0 0 1 2 1 2 1 0 2 X+2 2X 1 2X+2 X+1 2X 2 X+2 0 0 0 0 0 2X 0 2X 0 2X 2X 2X 2X X 0 0 X X 0 0 X 0 0 0 0 2X X X 2X 2X 2X 2X 0 0 X 2X 2X 2X X X generates a code of length 19 over Z3[X]/(X^2) who´s minimum homogenous weight is 30. Homogenous weight enumerator: w(x)=1x^0+188x^30+42x^31+204x^32+464x^33+228x^34+228x^35+926x^36+522x^37+522x^38+1084x^39+534x^40+372x^41+772x^42+132x^43+132x^44+196x^45+6x^48+6x^51+2x^54 The gray image is a linear code over GF(3) with n=57, k=8 and d=30. This code was found by Heurico 1.16 in 0.133 seconds.