The generator matrix 1 0 0 0 1 1 1 1 1 X 1 1 1 0 1 1 1 X X 0 1 0 1 2X 1 1 1 1 1 1 1 2X 1 1 1 X 2X X 1 0 1 1 0 0 1 0 0 0 X 2X X 2X 0 1 2 1 1 2X+2 X+2 X+1 1 X 1 2X+1 1 X+2 1 2X+1 2X+1 X+2 1 2 X+2 1 1 2X+1 2 X+1 1 1 1 1 1 0 2X 2X 0 0 1 0 0 2X+1 2X+1 2X+2 2 1 2 2X 1 X+1 1 X X+2 2X+1 1 2X+2 2X 0 2 2 X+2 2X+1 X+1 0 X+1 X+1 2X 0 2 X+2 X X 2X+2 2X X+2 2X 1 2X 1 0 0 0 1 1 2X+1 2X+2 X X+2 2X+2 1 2X+2 0 2X+1 2X 2X X 0 1 2X X+1 X+1 2 1 X+2 2X+2 X+2 2 2X 2X+1 2X 2X+2 2X+2 1 2X 1 2X+1 2X 2X X 2X+1 2X+2 2 0 0 0 0 2X 0 2X 2X 0 0 X X 2X 2X 0 2X 0 0 X X 2X X 0 0 X X 0 2X 2X X X X 2X X 0 0 X 2X 2X X X X X generates a code of length 43 over Z3[X]/(X^2) who´s minimum homogenous weight is 75. Homogenous weight enumerator: w(x)=1x^0+548x^75+1932x^78+3144x^81+3332x^84+3878x^87+3630x^90+2368x^93+722x^96+108x^99+14x^102+2x^105+2x^108+2x^111 The gray image is a linear code over GF(3) with n=129, k=9 and d=75. This code was found by Heurico 1.16 in 5.33 seconds.