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 0 0 1 2X 1 1 1 2X 1 1 1 1 1 1 2X 1 1 X 1 X 1 X X 1 1 1 X 1 1 1 1 1 1 1 1 1 1 1 0 1 1 X X 1 1 1 X 0 0 1 1 1 X 1 0 1 0 0 0 1 2 1 2X+1 2 2X+2 1 1 0 1 2X+2 1 X 2X+1 1 2X+1 2X 2X+2 0 1 2X+2 1 X+2 2 X+1 X 2X X+1 2X X+1 X+1 0 1 X+1 2X+2 1 2 1 X X 1 0 0 2X+1 1 2X X+1 2X 2X+1 1 2X+1 X+1 2X 2 X+2 2X+1 1 0 X+1 1 2X 1 2X+2 2X 1 0 1 2X+1 X+1 2X+1 X 2 0 0 1 1 2 2 2 1 2X 0 2X+1 2 2X+1 0 X+1 X+1 X+2 X+2 2X+2 2X+1 0 X+1 2X 1 0 2X+2 2X 2X X+1 2 1 X+1 1 2X 2X 2X+2 X X+2 X 2 0 X+1 1 2X+2 1 X+2 2X+2 2X+1 2X+2 2X+2 2 2X+2 0 2X X 2 0 X 2 2X+2 0 1 2X X+2 X 1 2 2 2 X+1 1 2 2X+1 X+1 2X+1 1 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 2X 2X 0 X X X 0 X 0 X 0 0 0 2X 2X X X 0 0 X 2X X 2X X 2X 0 X 2X 2X 0 X X 2X 0 2X X X X 0 X 0 0 X 0 0 0 0 2X X X 0 X X 0 0 0 0 X 0 X 2X 2X 2X 2X 0 X X 2X X 2X 2X 0 0 X X X 2X 2X 0 X X 2X 2X 0 0 X 0 0 0 0 0 0 0 0 2X X 0 2X X X X 2X 2X 2X 2X 2X 2X X 2X X 0 2X 2X 2X X 2X 0 X X 0 0 2X 2X 2X 0 0 2X 0 2X 2X 0 0 0 0 0 2X X X 0 X 0 X X X 2X 2X 0 X 0 X 2X X 0 X 2X X X 2X X X X X 0 0 0 X 2X 2X 0 X X 2X X 0 2X 0 2X 0 2X 0 2X X 0 2X 0 0 0 X 2X X 2X 2X X 2X 2X 0 0 X X X 0 0 2X X 2X X 0 generates a code of length 77 over Z3[X]/(X^2) who´s minimum homogenous weight is 139. Homogenous weight enumerator: w(x)=1x^0+120x^139+60x^140+304x^141+480x^142+306x^143+646x^144+816x^145+444x^146+732x^147+1050x^148+546x^149+916x^150+1182x^151+642x^152+984x^153+1482x^154+732x^155+852x^156+1194x^157+744x^158+766x^159+1080x^160+480x^161+668x^162+690x^163+282x^164+386x^165+498x^166+108x^167+148x^168+114x^169+30x^170+94x^171+36x^172+26x^174+16x^177+6x^178+8x^180+2x^183+10x^186+2x^189 The gray image is a linear code over GF(3) with n=231, k=9 and d=139. This code was found by Heurico 1.16 in 8.21 seconds.