The generator matrix 1 0 1 1 1 1 1 0 X 1 1 1 1 1 0 1 2X 1 1 1 1 0 1 1 1 0 1 1 1 1 1 1 1 1 1 1 X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 2 0 2X+1 2 1 1 X 2X+1 2 2X+1 0 1 2X 1 2X+1 2 0 2X 1 1 X+2 0 1 2 2X+1 X+1 X+2 0 X+1 X X+1 X 2X 1 2X+1 X+2 2X 2X+2 X X+2 X+1 X X+2 2X X X X 2X+1 2X X+1 0 0 2X 0 0 2X 0 X 2X 0 X 0 X X 0 2X 0 2X X 2X X 0 X 2X X X X 0 0 0 2X 0 2X 0 2X 2X 2X 2X X X 2X X 2X X X 2X X 2X X 0 0 X 2X 0 0 0 X 0 2X 2X 2X X 0 0 2X X 2X 0 X 0 2X 0 X 2X 2X 0 X X X 2X X X 0 0 2X 2X 2X 2X 2X 2X 0 2X 0 X 0 0 X X X 2X 0 2X X 2X X 2X 0 0 0 0 X X X 0 0 2X 2X 2X 0 2X X X 2X 2X 0 2X X 0 X 0 0 0 0 X 2X 0 0 X X 2X 0 2X 2X 2X X 0 2X X 2X 0 2X X 0 X 2X X 2X X 0 generates a code of length 53 over Z3[X]/(X^2) who´s minimum homogenous weight is 99. Homogenous weight enumerator: w(x)=1x^0+398x^99+438x^102+342x^105+454x^108+318x^111+108x^114+96x^117+18x^120+10x^126+4x^135 The gray image is a linear code over GF(3) with n=159, k=7 and d=99. This code was found by Heurico 1.16 in 34.7 seconds.