The generator matrix 1 0 0 1 1 1 1 X 1 1 2X 1 1 1 0 1 1 1 1 1 1 2X 1 X 1 2X 1 X 1 1 1 1 1 0 1 2X 1 1 1 1 1 1 1 1 1 X 1 0 1 1 2X 2X 1 1 0 1 0 0 0 2X+1 1 1 2X+2 2X+1 1 2 2 2X X 1 X 2X+2 2X+1 2X+1 X 1 2 1 2X+2 1 X 1 2X 2X 2X 2X+2 2X 1 X+2 1 2X+1 X+2 X X 2 X+1 1 2X X 1 X+1 1 X+2 X+1 X 1 2X+2 2X+1 0 0 1 1 2 2X+2 1 X+2 2X+1 2X 1 0 X+2 X 1 2X+2 X+2 X+1 0 X+1 X+1 1 X 2X+2 2 X X+1 2X+1 0 2 X 1 2 2X+1 2 2X X+2 2X+1 2X+1 X 2X X+2 2 2X+1 2X+1 X+2 2X+1 2X+2 2X+2 0 1 2X 2 1 0 0 0 2X 0 0 0 0 0 2X X X 2X 2X 2X 0 0 2X 2X 0 0 2X 2X 2X X X 2X X 2X 0 X 2X 2X 2X 0 2X X 0 X 0 0 2X X 0 X X X 2X 2X 2X 0 2X 0 0 0 0 0 0 X X X 0 X 0 X 0 2X 0 2X 0 0 2X 2X 0 2X 2X X 0 X 2X X 2X X 2X 2X X 2X 0 0 X 2X 2X 2X 2X X X 0 X 0 0 X 2X X 2X X 2X X 0 generates a code of length 54 over Z3[X]/(X^2) who´s minimum homogenous weight is 99. Homogenous weight enumerator: w(x)=1x^0+572x^99+1086x^102+1326x^105+1100x^108+894x^111+750x^114+564x^117+198x^120+48x^123+22x^126 The gray image is a linear code over GF(3) with n=162, k=8 and d=99. This code was found by Heurico 1.16 in 85.1 seconds.