The generator matrix 1 0 0 1 1 1 1 1 1 2X 1 1 1 0 1 1 1 0 X 1 X 1 1 1 1 0 0 1 0 0 0 1 1 2 2X+2 1 2X+1 2 2X+2 1 2 X X+2 1 1 2X 1 X X+2 2X+1 0 1 0 0 1 1 2 2 1 0 2X+1 2X+1 2X 2 2X+1 2 0 2X 2X+2 X X+2 2 X+1 1 X+1 X+1 X+1 X 0 0 0 2X 0 0 0 0 0 0 2X 2X X 2X X X X X 2X 2X X 0 2X 0 2X 2X 0 0 0 0 X 0 2X 2X X X 2X 0 2X 0 X 2X X X X 0 X 0 0 2X X 0 0 0 0 0 0 2X X 2X X 0 2X 0 2X X 0 X 2X 2X 0 X 0 X X 0 2X 0 generates a code of length 26 over Z3[X]/(X^2) who´s minimum homogenous weight is 42. Homogenous weight enumerator: w(x)=1x^0+464x^42+1530x^45+3232x^48+5048x^51+5498x^54+3118x^57+686x^60+72x^63+22x^66+12x^69 The gray image is a linear code over GF(3) with n=78, k=9 and d=42. This code was found by Heurico 1.16 in 60.8 seconds.