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 2X 1 1 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+1 1 X 2X X+2 0 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 X+1 X+2 X+1 X+1 2X+2 2X 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 2 2 0 2X+1 X+1 X 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 X X 2X 2X X 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+348x^50+298x^51+1314x^53+986x^54+2070x^56+1106x^57+2988x^59+1488x^60+3462x^62+1678x^63+2214x^65+764x^66+678x^68+192x^69+48x^71+40x^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 2.39 seconds.