The generator matrix 1 0 0 1 1 1 1 1 1 2X 0 1 X 1 1 1 1 1 1 X 1 1 X 1 1 1 X 1 X 1 1 X 1 0 1 1 0 1 X 1 1 2X 1 1 1 1 0 1 2X 1 X 1 1 1 1 1 X 1 1 1 2X 1 2X 1 0 2X X 1 1 1 1 1 0 X X 0 1 0 0 X 2X+1 1 2 2X+1 1 1 2 2X 2X+1 1 1 X+2 2X+2 X 1 X 2X+2 1 1 0 X+2 1 1 0 0 2X+1 1 2 1 2X+2 2 2X 2X 2X 2X+2 2X+1 1 1 2 0 X 1 2 1 2X+1 1 X 2X+2 X+2 0 X 1 0 X 1 1 X+2 1 2X+1 2X X X X+1 2X+2 X+2 2 X+2 1 1 1 0 0 1 1 2X+2 X+2 X+1 0 2X 2X+1 2X+2 X 1 2 1 2X 2X+1 2 X 0 X+2 X+1 X+2 1 X+1 2X+2 2X+1 X+2 1 2X+1 1 X+2 2 X X 2X 1 0 1 1 1 X+2 2 2X X+1 1 X+1 2 X+1 X+1 2 2X+1 2X+2 2X+1 X 2X+1 2X+2 0 1 X+1 X+2 2X 0 2X+1 1 1 1 2 2 2X+2 1 X+1 X+1 2X+1 1 0 0 0 2X 2X 2X 2X 2X X 2X 2X X 2X 0 X 0 X 2X 2X 2X 0 2X 0 0 0 X 0 X X 2X 0 2X X 0 0 X 2X 0 X 2X X 0 X 2X X 0 0 2X 2X X 2X X 0 0 X 0 0 2X 2X 0 X 0 2X 2X X 2X 2X 0 0 2X 2X 0 2X X 0 generates a code of length 75 over Z3[X]/(X^2) who´s minimum homogenous weight is 143. Homogenous weight enumerator: w(x)=1x^0+276x^143+182x^144+348x^146+202x^147+252x^149+138x^150+234x^152+56x^153+132x^155+50x^156+96x^158+36x^159+42x^161+24x^162+54x^164+14x^165+12x^167+6x^168+6x^170+14x^171+6x^173+4x^174+2x^180 The gray image is a linear code over GF(3) with n=225, k=7 and d=143. This code was found by Heurico 1.13 in 0.124 seconds.