The generator matrix 1 0 1 1 1 1 1 0 1 1 1 0 1 1 1 0 X 1 1 1 1 0 1 1 1 1 0 1 1 X 1 2X 1 1 1 1 2X 1 1 1 1 X 1 1 1 1 1 1 1 1 1 X 1 1 1 0 1 1 1 1 0 1 1 X 1 1 X 1 2X 1 0 1 1 1 1 1 0 1 1 2 0 1 2 1 0 2X+1 2 1 0 X+1 2 1 1 2X+1 2 0 X+2 1 0 2X+1 2 X+1 1 X+2 X 1 2X+1 1 0 X+2 2X 2X+1 1 2X+2 1 X 2X 1 2X+2 2X+1 2X X+2 1 X+2 2X+2 2X 2X+1 1 X 0 2 1 1 2X+1 X+1 X+2 1 X+2 1 1 2X+1 2X+1 1 X 1 2X+1 1 X+1 2 0 0 0 0 0 2X 0 0 0 0 0 0 0 0 0 0 X X 2X 2X X 2X 2X X 2X X X 0 2X 0 2X 2X 2X 2X 0 2X 0 0 0 2X 2X X X X 0 X 2X X 0 2X 2X 2X 2X X 2X 0 X 2X 0 0 X 2X X X 0 X 0 0 X X X 0 X X 0 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 2X 0 0 2X 2X X 0 2X 2X 2X X 2X 0 2X 0 X 2X X 0 2X X 0 X X X 0 2X 2X 2X 0 X X 2X 2X X 0 2X 2X 2X 2X X 0 0 0 2X X 2X 0 2X 2X 2X 2X 2X 2X X 2X 2X X 0 0 0 0 X X 0 0 0 0 0 X 0 0 0 X 2X 2X 0 X 2X X 0 0 X 2X 2X 0 0 X X 2X X X 0 2X 2X 0 2X X 0 2X 2X X X X X 0 2X 0 X 2X 2X 2X X X X 0 0 2X 2X 2X X 2X X X 2X 2X 0 2X 2X 2X 2X 2X X 2X 2X 2X 2X 2X 0 2X 0 0 0 0 0 0 2X 0 X 2X 2X 2X 2X 0 X 2X X 0 2X X 2X X X X X 0 0 2X 2X X 2X 0 2X 0 X 0 X 0 X 0 X 0 X 2X X X 0 X 0 0 0 X 0 X 0 2X 0 2X X 2X 0 X 2X 0 0 2X 2X 2X 0 X 2X X 2X 2X 0 2X 0 0 0 0 0 0 0 X 2X 2X 2X 0 2X 2X 2X 0 2X X X 0 0 0 X 2X 2X 2X 0 X X 0 0 0 2X X 2X X X X X 0 X X 2X 2X 0 0 0 X X 0 2X X 0 2X X X X 0 2X X 2X 0 X X X 2X X 2X 2X X X X 0 X X X 0 generates a code of length 76 over Z3[X]/(X^2) who´s minimum homogenous weight is 132. Homogenous weight enumerator: w(x)=1x^0+28x^132+6x^134+112x^135+126x^137+346x^138+612x^140+530x^141+870x^143+506x^144+1566x^146+716x^147+1992x^149+836x^150+2262x^152+996x^153+2466x^155+916x^156+1740x^158+676x^159+1122x^161+354x^162+270x^164+218x^165+84x^167+102x^168+6x^170+86x^171+58x^174+36x^177+16x^180+14x^183+6x^186+8x^189 The gray image is a linear code over GF(3) with n=228, k=9 and d=132. This code was found by Heurico 1.16 in 8.4 seconds.