The generator matrix 1 0 0 1 1 1 1 1 1 1 1 0 2X 1 2X 1 X 1 1 1 1 1 1 1 X X X 1 X 2X 2X 1 1 1 1 2X 1 1 1 1 0 1 1 1 2X 1 2X 1 0 1 1 1 1 2X 1 1 0 0 1 1 2X 1 2X 1 1 1 1 0 1 1 X 1 1 1 1 0 1 0 0 0 1 2 1 2X+1 2 2X+2 1 1 0 1 2X+2 1 2X+1 X 1 2X+1 2X 2X+2 X+2 2X 1 1 1 0 X 1 X+1 X 2X+2 2 1 2 X 2X 1 1 2X+2 2X+2 2 1 2X+1 1 X+1 1 1 X+1 1 2X 1 X+1 X 1 2X X+2 X 1 2X 1 X+1 2X+1 X+1 2 1 2X 1 1 0 0 X+2 0 0 0 1 1 2 2 2 1 2X 0 2X+1 2 2X+1 0 X+1 X+1 X+2 2X+2 X+2 2X+1 0 X+1 2X 2 1 0 X+1 X+1 1 1 2X 2X+2 2X+2 2X+1 X X+1 2X+1 X 1 2 0 2X+2 2X+1 2X 2X+2 0 X+1 1 2X+2 X 1 X 1 1 2X 2X+1 X+1 1 2X 2X+2 X X X+2 0 X+1 2X+1 1 0 X+2 2X+2 0 2X+2 2X+1 2X 0 0 0 0 2X 0 0 0 0 0 2X 2X X 2X 2X X 0 2X 2X 2X X 2X 0 X 2X 0 X 2X 2X X X 0 2X 0 0 2X 2X 0 X 2X X X X 0 X 0 0 X 0 2X X X 0 2X 2X 2X X X 2X 0 0 X 0 2X 0 0 X X 0 X X X X X X 0 0 0 0 0 X 0 X 2X 2X 2X 2X 0 X X 2X X 2X 0 2X 0 X X X 0 X 0 0 0 2X 0 X 2X 0 X 0 2X 2X 2X 0 2X 0 X 2X 0 0 0 X X X X 0 0 2X X X 0 2X 0 2X X 0 X 2X 2X 0 2X X X X X 2X 2X 0 2X X 0 0 0 0 0 2X X X 0 X 0 X X X 2X 2X 0 0 X X 2X X 0 X 0 X 2X X 0 0 X 2X 2X 0 2X 0 0 0 2X X 0 X 2X X 2X 2X 2X 0 0 0 0 X 2X 0 X 2X X X 2X 2X 2X 0 2X 2X 0 X 2X 0 0 0 2X 2X X X 2X generates a code of length 75 over Z3[X]/(X^2) who´s minimum homogenous weight is 135. Homogenous weight enumerator: w(x)=1x^0+106x^135+102x^136+210x^137+650x^138+258x^139+300x^140+1036x^141+474x^142+600x^143+1208x^144+570x^145+546x^146+1690x^147+678x^148+564x^149+1536x^150+672x^151+738x^152+1836x^153+672x^154+588x^155+1344x^156+474x^157+462x^158+770x^159+252x^160+222x^161+474x^162+168x^163+114x^164+186x^165+48x^166+24x^167+50x^168+6x^169+6x^170+14x^171+10x^174+6x^177+4x^180+8x^183+4x^186+2x^189 The gray image is a linear code over GF(3) with n=225, k=9 and d=135. This code was found by Heurico 1.16 in 7.25 seconds.