The generator matrix 1 0 1 1 1 1 1 0 1 1 1 0 1 1 1 0 X 1 1 1 1 1 1 0 1 0 1 1 0 1 2X 1 1 1 1 1 X 0 1 1 X 1 1 1 1 1 X 1 1 1 0 0 1 2X X X 1 X 1 1 1 X 2X 1 1 1 1 1 1 2X 1 1 1 0 1 0 1 1 2 0 1 2 1 0 2X+1 2 1 0 X+1 X+2 1 1 0 2X+1 2 X+1 X 2 1 0 1 2 2X+1 1 2X+2 1 0 X 2X+1 2X+1 2X+2 1 1 2X+1 X 1 2X+1 0 1 0 X+1 1 2X 2X+2 2 1 1 X 1 1 1 2X+2 1 2X X X+1 1 1 0 X+1 2X+2 2X 2X+1 0 1 2X+2 X 2X+2 1 0 0 0 2X 0 0 0 0 0 0 0 0 0 0 X 0 X 2X X 2X 0 X 2X 2X 2X X X 0 2X X 2X 2X X 2X 2X 2X 0 0 X X 0 2X X X 0 0 X 0 0 X X 2X X X 0 X 0 0 2X 2X 0 2X X 2X 2X 0 X X X 2X 2X X 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 2X 0 0 2X X 2X 0 X X 2X 0 2X 0 0 2X 2X X X X 2X X 2X X X X X 0 0 X 2X X 2X 2X 2X X 0 X 2X 2X X 2X 2X 2X X X X 2X 2X X X X 2X 2X X X 2X 0 X 0 X 2X X 2X X 0 0 0 0 X 0 0 0 X 2X 2X 0 X 2X 2X 0 0 2X 0 2X 2X X 2X 2X 0 2X X 0 0 X 0 0 X X X 0 X 0 2X 2X 2X 2X X 0 0 0 X X X 0 2X X 2X X 2X 0 X X 0 X X X 0 X 0 X 0 0 0 2X X 2X 2X X 2X 0 0 0 0 0 2X 0 X 2X 2X 2X 2X 0 X 2X 2X 2X 0 0 X X 0 X 2X 2X 2X 2X X 0 2X X 2X 0 0 2X 0 0 X 2X 0 0 0 2X X 0 X 0 2X 0 X 2X 0 2X X 0 2X 0 2X 0 X X X 0 0 X X X X X 2X 0 2X X 0 0 0 0 0 0 0 0 X 2X 2X 2X 0 2X 2X 2X X 2X 0 2X X 2X X 2X X X 2X 0 X 2X 2X 0 0 2X 0 0 X X X 0 2X 2X X X 0 0 0 2X X 0 2X X 2X 0 2X 2X 0 X 0 0 2X X 0 0 0 2X X X 2X 2X 0 2X X X X 0 0 generates a code of length 75 over Z3[X]/(X^2) who´s minimum homogenous weight is 132. Homogenous weight enumerator: w(x)=1x^0+90x^132+66x^134+260x^135+54x^136+174x^137+496x^138+180x^139+270x^140+882x^141+336x^142+432x^143+1242x^144+636x^145+606x^146+1550x^147+816x^148+690x^149+1832x^150+786x^151+738x^152+1814x^153+798x^154+606x^155+1260x^156+510x^157+474x^158+766x^159+228x^160+222x^161+374x^162+24x^163+72x^164+142x^165+6x^166+24x^167+68x^168+50x^171+54x^174+30x^177+12x^180+8x^183+4x^186 The gray image is a linear code over GF(3) with n=225, k=9 and d=132. This code was found by Heurico 1.16 in 8.43 seconds.