The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 1 2X^2 1 1 X 1 1 0 X 1 1 1 0 1 X 1 X 1 0 X 0 0 2X 2X^2+X X 2X^2+2X 2X 2X^2+X 2X^2 0 2X^2+X 2X^2+2X X^2 2X 2X^2+2X 2X^2+X 2X^2 0 2X^2+2X X X^2+X X 2X^2+2X X^2 2X X^2+2X X^2+2X X^2+X X^2+X 2X^2+X X^2 2X^2+2X X^2 2X^2+X X 2X^2+X X^2 0 2X 0 2X^2+X X^2+X 2X^2+2X X^2 2X^2+2X X^2+X X^2 2X^2 X^2+2X X^2 2X^2+X 2X 2X^2+X 2X^2+2X X^2+X 2X X X^2+X 2X^2+X 2X^2+2X 2X 2X^2+2X X^2 0 0 X^2+2X 2X^2+2X X 2X^2+X 2X^2+X 0 2X^2+2X X^2 0 0 X 2X 0 X^2+2X X X^2+X X^2+2X 2X^2+2X X 2X^2 X^2+X X^2+X 2X 2X^2 2X 0 X^2+2X X^2 X^2+X 0 X^2+2X X^2+X 0 2X^2+X 2X^2+2X X^2+X 2X X^2 X^2+2X 2X^2+X X^2+X X 2X^2 X 2X^2+2X 2X 2X^2 2X^2+2X 2X^2+X 2X^2+2X X^2+X 2X^2 0 2X^2 0 2X^2 X 2X^2 X^2+2X 2X^2+X X 2X^2 2X^2+2X 0 X^2+X 2X X X^2+2X X^2+2X 2X^2+X 2X^2+2X 2X X 2X 0 2X^2 X X^2+2X X^2+X X^2 X^2+2X 2X^2+X X^2+2X 0 0 0 X^2 0 0 0 2X^2 0 X^2 2X^2 X^2 2X^2 X^2 2X^2 0 0 2X^2 0 X^2 2X^2 X^2 2X^2 X^2 0 0 2X^2 2X^2 0 X^2 X^2 0 X^2 X^2 0 2X^2 2X^2 0 2X^2 0 X^2 0 X^2 0 2X^2 2X^2 2X^2 2X^2 X^2 X^2 X^2 0 0 0 2X^2 X^2 2X^2 X^2 0 2X^2 X^2 2X^2 0 2X^2 X^2 0 X^2 2X^2 0 2X^2 X^2 0 X^2 X^2 X^2 0 0 0 0 X^2 2X^2 X^2 0 2X^2 0 2X^2 X^2 0 0 0 0 0 2X^2 0 0 X^2 X^2 X^2 2X^2 2X^2 2X^2 0 2X^2 X^2 0 2X^2 2X^2 0 2X^2 2X^2 2X^2 2X^2 X^2 0 2X^2 X^2 X^2 X^2 2X^2 2X^2 2X^2 0 0 2X^2 2X^2 X^2 X^2 0 2X^2 0 0 X^2 0 X^2 0 X^2 X^2 0 X^2 X^2 2X^2 0 X^2 X^2 0 0 2X^2 X^2 2X^2 2X^2 generates a code of length 75 over Z3[X]/(X^3) who´s minimum homogenous weight is 140. Homogenous weight enumerator: w(x)=1x^0+342x^140+282x^141+18x^142+756x^143+504x^144+144x^145+1740x^146+1030x^147+918x^148+3642x^149+1588x^150+1548x^151+3732x^152+1152x^153+288x^154+690x^155+228x^156+348x^158+116x^159+174x^161+96x^162+144x^164+70x^165+78x^167+30x^168+18x^170+2x^171+2x^174+2x^201 The gray image is a linear code over GF(3) with n=675, k=9 and d=420. This code was found by Heurico 1.16 in 33.6 seconds.