The generator matrix 1 0 0 0 1 1 1 1 2X 1 1 1 1 0 X 1 X 1 1 1 1 1 1 1 1 1 1 0 1 1 0 1 0 0 0 1 2X 2 1 2X+1 X+2 2X X+2 1 X 2X+2 1 X+2 0 X+2 2X+1 0 1 2X+2 X+2 1 2X+1 X 0 2X+1 0 0 1 0 0 2 2X+1 2 2X X X+1 2X+2 2X+1 X+1 1 2 1 1 2X+2 2X+2 0 1 2 2X+1 2X X+2 1 1 X+1 2 0 0 0 1 1 X+1 2X+2 2X 2X+1 2 2X 2X+2 X+1 X 2 X+1 X+1 2X+2 X 2 1 1 2X+2 2 0 2X+1 1 X+1 2 2X+2 0 0 0 0 2X 2X X 0 2X 2X 2X 2X 0 2X 2X X X 0 2X X 0 0 0 2X X 0 X 0 X 2X generates a code of length 30 over Z3[X]/(X^2) who´s minimum homogenous weight is 50. Homogenous weight enumerator: w(x)=1x^0+300x^50+350x^51+1332x^53+838x^54+2220x^56+1208x^57+2952x^59+1570x^60+3210x^62+1524x^63+2424x^65+842x^66+636x^68+184x^69+48x^71+36x^72+2x^75+2x^78+4x^81 The gray image is a linear code over GF(3) with n=90, k=9 and d=50. This code was found by Heurico 1.16 in 6.83 seconds.