The generator matrix 1 0 0 0 1 1 1 1 1 1 2X 1 1 1 X 1 X 1 X 1 1 1 0 1 1 2X 2X 1 1 1 1 1 0 X 1 X 1 1 1 1 1 1 1 1 1 0 1 1 0 0 1 1 1 1 X 1 1 0 1 2X 1 1 1 1 1 X X 1 1 1 X X 2X 1 1 2X 0 1 1 2X 1 X 0 1 0 0 0 0 2X+1 1 2X+2 2X+1 1 1 X 2X 1 2X+1 1 1 0 X 2 2 1 2 2 1 1 2X+2 X+2 1 2X 2X+2 2X 1 2X 1 2X+1 0 2X+1 1 2X X+1 X X 2X 1 X+2 1 1 1 1 2X+2 0 X+2 1 2 0 0 X 1 0 2 0 2X+2 X+2 2X 1 0 X+1 X+2 1 1 2X 0 2X+2 1 1 X+2 2X 1 X 1 0 0 1 0 1 0 2X 2 2X+1 X+2 2X+2 1 2 X+2 2 2X 0 2X+1 1 2X+2 X 2X+1 2X+2 X+2 X+2 2X 1 X 2X 0 2X+1 2X+1 1 2X+1 0 2X+1 X+2 2X+2 2X+1 X+2 X+1 X+1 X+1 2X X 2X 2X+1 X+1 2X+1 2X+2 X+2 X+1 2X X+2 2 2X 1 1 1 X+2 X+1 2X+2 2X+1 1 2X+2 1 2X+2 2X+1 2X+1 2X 2X+2 2 1 2 2X+1 X+2 X+2 2X+2 2X 0 X+2 X 0 0 0 1 2 1 2X+2 2X+1 X 0 2X+1 X+2 2 X 2X+2 0 X+1 1 1 2X+1 2X+2 X+1 2X X 2 2X+2 2X 2X 2X+1 1 2X X+2 X+2 2X+2 2X+2 X+1 X+2 1 X+1 X+1 2X+2 0 2X+1 2X+1 X 2X 0 2X X 2 0 2X+1 0 X+1 1 0 2X 1 2X 1 2X+1 2X+1 2X+1 2 X 2 0 1 2X+2 X+1 2X+1 2X 2X+2 X+1 0 X 2X 2X 2X 2 0 2X+2 0 0 0 0 2X 0 2X 0 X X 0 X X 0 2X 0 X 2X X 2X X 0 X 2X 0 X 0 X 0 X 2X 0 0 2X 2X 0 0 2X X X 2X 2X X 2X 0 0 X 0 0 X 2X 0 X 0 X 2X 0 2X 2X 2X 0 2X X 0 X 0 2X 2X 2X 2X X X X 0 X 0 2X 2X X 0 2X 2X 0 0 0 0 0 2X 0 2X X X 0 X X 2X X 2X 2X 0 2X 0 X 2X 2X 2X X X 2X 2X 0 0 X X X 2X 2X X 0 2X 2X 2X X 2X 2X X X X 0 X X 0 2X 0 X X 2X X 2X 2X 2X 0 X X 0 0 X 2X 2X X 2X X 0 X 2X X 2X 2X X X X 2X X 0 generates a code of length 82 over Z3[X]/(X^2) who´s minimum homogenous weight is 147. Homogenous weight enumerator: w(x)=1x^0+200x^147+360x^148+450x^149+804x^150+834x^151+942x^152+1652x^153+1392x^154+1542x^155+2308x^156+1890x^157+1986x^158+2942x^159+2196x^160+2298x^161+3194x^162+2358x^163+2766x^164+3620x^165+2544x^166+2520x^167+3656x^168+2238x^169+2364x^170+2742x^171+1746x^172+1440x^173+1710x^174+1170x^175+744x^176+794x^177+498x^178+330x^179+324x^180+222x^181+84x^182+54x^183+30x^184+24x^185+24x^186+12x^187+6x^188+8x^189+6x^190+8x^192+6x^195+8x^198+2x^201 The gray image is a linear code over GF(3) with n=246, k=10 and d=147. This code was found by Heurico 1.16 in 67.4 seconds.