The generator matrix 1 0 1 1 1 1 1 0 1 1 1 X 1 1 1 X 1 1 1 0 1 1 1 X 1 1 1 1 1 1 1 1 1 2X 2X 2X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 2 2X+1 0 2 1 X 2X+1 X+2 1 X X+1 X+2 1 X+1 0 2 1 X 1 X+2 1 2X 2X 2X 2X+1 X+1 1 2X+2 2X+2 2X+2 1 1 1 0 0 X X 0 X 2X+1 2X+1 X+1 X+1 2X+1 X+1 2X 2X 0 0 0 2X 0 X X 2X 2X 2X 0 X X X 2X 2X 2X X 2X X X 0 0 0 0 0 X 2X 2X 0 X 0 X 2X 0 X 2X 0 X 2X X 2X 0 2X X 0 X 0 2X 0 X 0 generates a code of length 51 over Z3[X]/(X^2) who´s minimum homogenous weight is 99. Homogenous weight enumerator: w(x)=1x^0+32x^99+180x^102+18x^105+8x^108+4x^126 The gray image is a linear code over GF(3) with n=153, k=5 and d=99. This code was found by Heurico 1.16 in 0.0126 seconds.