The generator matrix 1 0 0 0 0 1 1 1 2X 1 1 1 1 1 0 1 0 1 1 X 1 1 0 1 1 X 1 1 1 1 1 1 1 X 1 2X 2X 0 X 1 1 2X 1 1 0 2X 1 0 2X 1 1 1 1 1 1 X 1 1 1 1 1 1 X 1 2X 1 1 1 1 0 1 1 1 X 2X 1 1 1 1 1 1 1 1 X 1 1 0 1 0 0 0 2X 1 2X+1 1 0 X 2X+2 2 1 1 2X+2 1 2 1 1 2X+1 X+2 0 2X X 1 X+1 X+2 2X+1 0 2X X+2 X+1 1 1 1 1 1 0 2X+1 2X+1 1 2X+2 0 1 1 X 1 X X 0 1 2 X 2 1 X+1 2X 2X X+1 X+2 X 0 1 1 2 2X+2 2X+2 1 X 2 X+1 X+2 X 1 X+2 2X+1 2X 0 2 2X X+1 2X 1 X+2 X 0 0 1 0 0 0 0 0 0 X X X X 2X 2X 2X X 2X 2X X 2X 2X 2X 2X 2X 2 X+2 2X+1 X+2 X+2 1 1 1 2 X+1 2 2 1 1 2X+2 2X+2 1 2X+2 X+1 X+1 1 2X+2 2X+1 1 2 2X+2 2X+1 1 2X+1 1 X X+2 2X+1 2X+1 2X+1 X 2 1 X+1 2X+1 X+2 0 X 1 1 X+1 X+2 2X+1 1 2X X 0 2X+1 2X+2 2X 2X+2 1 X+2 X+2 2X+2 X+1 0 0 0 1 0 2X+1 1 2X+2 X+1 X+1 X+2 2X 2X+1 0 2 X+2 2 2X+2 2X 1 X+2 X 1 0 2 X+1 2 2X X+1 2X 2 2X+1 X+2 2X+2 X+1 2 2X 2X 2X X 0 1 1 X X+2 2X+2 2 2X+1 2 0 1 1 X+2 2X+1 X X X+1 X+1 2 2 1 1 2X+2 0 2X 0 0 2X+2 2X X+2 2X+1 X X X X+1 2 X 0 2X 1 X+2 2 X+2 2 X+2 0 0 0 0 0 1 2X+2 X X+2 X+2 2X+1 X X+1 2X X+1 2X+1 2X+2 0 2X 0 2X+1 2X+1 2 2X+1 2 2X+1 0 2X X X+1 1 2X+1 X+1 0 X+1 2X+2 2X+2 X+1 2X 2X+2 X 2X+2 2X+1 X+2 1 1 2X 2 0 X+1 0 X X+1 1 1 X+2 1 0 X 2 2X+1 2 2X+2 X+2 0 1 X 2 2X 2 X 2X+2 1 2X+1 1 X X+1 2X+2 X+2 2X+2 2X+1 0 0 2X+1 1 X+2 2 generates a code of length 86 over Z3[X]/(X^2) who´s minimum homogenous weight is 155. Homogenous weight enumerator: w(x)=1x^0+270x^155+298x^156+450x^157+798x^158+1026x^159+1098x^160+1626x^161+1670x^162+1542x^163+2082x^164+1970x^165+2064x^166+2406x^167+2514x^168+2406x^169+2994x^170+2742x^171+2394x^172+3144x^173+2858x^174+2478x^175+3138x^176+2356x^177+2130x^178+2502x^179+2152x^180+1422x^181+1572x^182+1200x^183+954x^184+822x^185+626x^186+396x^187+384x^188+194x^189+132x^190+114x^191+62x^192+30x^193+18x^194+12x^195+2x^210 The gray image is a linear code over GF(3) with n=258, k=10 and d=155. This code was found by Heurico 1.16 in 71.3 seconds.