The generator matrix 1 0 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 0 1 0 1 1 2 0 2X+1 2 1 2 2 X+2 X X+2 0 0 2X 2X+1 1 0 0 0 2X 0 0 2X 0 X X 2X 2X 0 X 0 X X 0 0 X 0 0 0 X 0 2X 2X 2X 2X 0 2X 0 2X X 2X 0 2X X 2X 0 0 0 0 X X X 0 2X 2X 2X 2X 0 X 2X 2X 0 X 0 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+60x^30+102x^32+92x^33+294x^35+184x^36+612x^38+186x^39+402x^41+122x^42+48x^44+58x^45+24x^48+2x^51 The gray image is a linear code over GF(3) with n=57, k=7 and d=30. This code was found by Heurico 1.16 in 0.0161 seconds.