The generator matrix 1 0 0 0 1 1 1 2X 1 1 1 1 1 2X 1 1 1 1 1 1 0 1 1 0 2X 1 0 1 1 1 0 1 0 0 0 1 2X+1 1 0 X 2X+2 2X+2 X+2 X 2 X+1 X 1 X+1 1 1 2X 1 1 1 2X X 2 X 2X+1 0 0 1 0 1 1 2X+2 2X+1 X+1 2X+2 2X X+1 0 1 2 2X 0 X 2X+2 X+1 2X+1 2 1 2X+2 1 2X+2 2X 2X X X 0 0 0 1 2 0 2X+2 2X+2 2X+1 2X X+1 2X 2 X+1 0 2X+1 X+2 2X 2X+1 X+2 2X+1 2X+2 X+1 0 2X+2 X+1 1 X 2X 0 0 0 0 0 2X 0 2X 2X X 0 X 0 2X X 2X 2X X 2X 0 X 0 X 2X 2X X 0 0 2X 0 X 0 0 0 0 0 X X 0 2X 2X 2X 0 X X X X 0 0 X X X 2X 2X 2X 0 2X 2X 2X X 2X generates a code of length 30 over Z3[X]/(X^2) who´s minimum homogenous weight is 48. Homogenous weight enumerator: w(x)=1x^0+484x^48+2872x^51+6198x^54+11068x^57+15604x^60+13726x^63+7234x^66+1654x^69+184x^72+6x^75+12x^78+6x^81 The gray image is a linear code over GF(3) with n=90, k=10 and d=48. This code was found by Heurico 1.16 in 17.5 seconds.