The generator matrix 1 0 0 0 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 0 1 1 1 X 1 1 1 X 2X 1 1 1 0 1 1 1 2X 1 X 1 X X 0 1 1 1 1 X 1 2X 0 X 1 1 1 1 X 1 1 1 1 2X 1 1 2X 1 0 1 0 0 2X 0 X X 2X 2X 2X 2X 2X+1 1 X+2 1 2X+1 X+2 2X+2 1 X+1 2X+1 2 1 2 1 2 1 1 X+2 2 X+1 1 1 X+2 2X+2 1 X 2X 2X+1 1 1 1 2X+2 2X+1 2X+2 1 1 X+1 0 1 X 1 0 X+1 X+1 1 0 X+1 X+1 X 1 1 X+2 1 X+1 0 0 1 0 0 X 2X+1 2 2X+1 2 X+1 X+2 2X+2 2 2X+2 X 2 X+2 X+2 2X+2 X+1 2X 1 2 2X 1 2X+1 2X X+1 2X X X X+1 X+2 1 2X+2 2 X 1 2X 1 X+2 X X+1 0 2 X+1 0 1 1 X 1 0 X 0 2X 2 X+2 2X+2 2X X+1 2X+1 X+1 2 0 2 0 0 0 1 2X+1 2X+2 2X+1 1 2X+2 0 X 2 X+2 X+1 X+1 2X+2 2X X+2 0 X+2 2X X 1 2X+1 X+2 2 2 X+1 X+1 0 2X+1 X+1 2X X 0 2X+1 X 2X+2 1 2 X 2X 0 X+1 2X+2 2X 2X+1 1 X+2 X+2 2X+2 2 X+1 2X 1 X 1 X 2 0 0 1 0 2X+2 1 X+1 generates a code of length 66 over Z3[X]/(X^2) who´s minimum homogenous weight is 123. Homogenous weight enumerator: w(x)=1x^0+750x^123+1128x^126+1152x^129+1134x^132+752x^135+708x^138+456x^141+294x^144+138x^147+36x^150+12x^153 The gray image is a linear code over GF(3) with n=198, k=8 and d=123. This code was found by Heurico 1.16 in 351 seconds.