The generator matrix 1 0 0 1 1 1 1 1 1 1 1 0 2X 1 1 1 1 0 1 1 1 0 X 1 0 1 1 1 1 1 1 1 1 X 0 1 1 1 1 X 2X 1 1 1 1 1 1 2X 1 X 2X 0 1 X 1 2X 1 1 X 2X 1 1 1 1 1 1 1 1 1 2X 1 0 1 0 1 1 0 1 0 0 0 1 2 1 2X+1 2 2X+2 1 1 2 2X+1 2X+1 X+1 2X X+2 X+2 2X 1 1 0 1 X 0 2X+2 2X+2 1 1 X 2X+2 1 1 2X+1 1 1 2 X 1 2X 2X 2X+2 X+1 1 2 X X+2 1 1 1 2X+2 1 X 1 2X+1 1 1 1 2X+1 2X+2 X X+2 0 X 2X X 2 1 1 2X 2 X X+2 2X+2 0 0 1 1 2 2 X+2 X+1 2X 0 2X+1 2 2X+1 X X X+2 2X+1 1 2X+2 X+1 2X X+1 X+2 2 0 2X+1 X+2 X+1 2 1 2 0 0 2X 2X+2 2X 2X+1 X X+2 1 X+2 0 X+2 2 0 2X+1 1 1 2X+1 2 1 X 2X+1 2 X X+1 1 2X+2 2X 2X X X 0 2X+2 X+2 2 1 2 1 2 1 1 2X+2 1 2 2X+2 0 0 0 2X 0 0 0 2X X X 0 X 2X 2X 2X X 0 2X X 2X X 2X X 2X 2X X 2X 0 X 2X X 2X 2X 2X X 2X X 0 2X 0 X 0 X 2X 2X X 0 0 2X X 0 X 0 2X 2X 0 2X X 0 2X X X X 2X X 0 2X X X 0 0 0 0 2X 0 2X 0 0 0 0 X 0 2X 0 0 0 X X 2X 2X 2X 2X 2X 0 0 2X 2X X X 0 2X 2X 2X 0 0 X 0 2X 0 2X 2X 0 X 2X 0 X 2X X X X 0 2X 2X 2X X 0 X X 2X X 0 0 X 2X 2X X 0 0 X 2X 2X 0 2X X X 0 0 2X 0 X 0 2X 0 0 0 0 0 2X X 0 0 2X X 0 2X 0 X X 0 X 0 2X 2X 0 2X X 2X 0 2X 2X 2X 2X X 0 0 X 2X X 0 2X 2X X X X 2X X 2X X 2X 0 0 0 0 2X X 0 0 X 0 0 X 2X X 0 0 X 2X X X X X 0 2X 2X X 0 0 0 generates a code of length 76 over Z3[X]/(X^2) who´s minimum homogenous weight is 138. Homogenous weight enumerator: w(x)=1x^0+146x^138+366x^139+198x^140+494x^141+708x^142+408x^143+848x^144+1062x^145+576x^146+822x^147+1206x^148+708x^149+802x^150+1302x^151+678x^152+994x^153+1308x^154+642x^155+850x^156+1182x^157+558x^158+768x^159+738x^160+366x^161+488x^162+528x^163+186x^164+206x^165+270x^166+48x^167+82x^168+60x^169+6x^170+10x^171+18x^172+22x^174+10x^177+8x^180+6x^183+2x^186+2x^195 The gray image is a linear code over GF(3) with n=228, k=9 and d=138. This code was found by Heurico 1.16 in 7.41 seconds.