The generator matrix 1 0 1 1 1 1 1 0 1 0 1 1 1 1 1 0 X 1 1 1 0 1 1 1 1 1 2X 1 X 1 X 1 1 1 2X 1 1 1 1 0 1 X 1 1 1 1 1 1 0 1 1 1 1 2X 0 2X 1 1 1 1 1 0 X 2X 1 1 1 1 1 1 0 1 1 1 1 0 1 X 1 1 1 1 X 1 1 1 0 1 1 2 0 1 2 1 2X+1 1 0 2 X+2 2X+1 0 1 1 0 2 X+1 1 0 2 2X+1 X+1 2 1 X+2 1 2 1 0 X+2 X 1 1 X X 2X+1 1 2X 1 2X+2 X 2X 1 0 2X+2 1 X 2X+2 X+1 X+2 1 1 1 X X 0 1 X+2 1 1 1 0 1 X+2 2X+1 2X+2 2 1 1 X+1 2 0 1 1 1 2X X+1 2X+1 X 1 2X+2 2X X+2 0 0 2X 0 0 0 0 0 0 0 2X X X 2X 2X 2X 2X 2X 2X X 0 X X 2X 0 X X X 0 2X 2X 2X X X 0 X 0 X 2X X 0 0 0 X 2X X 0 2X X 0 2X 0 0 X X 2X X 2X X 2X 0 X 2X 2X 0 0 2X 2X 2X 0 X 0 2X 2X X 0 X 2X 2X 0 0 0 X 2X 2X 2X 0 0 0 X 0 0 0 X 2X X 0 2X X 2X 2X 0 2X 2X 0 2X 2X 2X 2X X X X 2X 0 X 0 X 2X 2X X 2X 2X 2X X 2X 2X X X X 2X 0 X X 2X 2X 0 2X X 0 2X X X 0 X 2X X X 0 2X 0 2X X X 2X X 2X 0 X 2X X 2X 2X 0 0 0 0 2X 2X X 2X X 0 0 0 0 0 X 0 X X X X X 2X 0 X X 0 2X 0 0 X X 2X 0 X 0 2X 2X X X X 2X X 0 X 2X 0 0 0 X X X 2X 0 X 0 X 2X 0 0 X 0 X 2X X 0 0 2X 0 2X X 2X 0 X X 2X 2X X 0 0 2X 2X 2X 0 X X X X 2X X 2X X 0 2X X 0 X 0 0 0 0 0 2X 2X 0 2X X 0 2X X X 2X 2X X X 2X 0 X X 0 0 2X 0 X 2X 2X 2X 2X 0 X 0 0 2X X 2X 2X X 0 X X 2X 2X 0 0 0 0 2X 2X X 0 2X 2X 2X 0 2X 2X X 2X 2X X X 2X 2X X 2X 0 0 2X 0 0 0 X 2X 2X 2X X 2X X 0 X 0 X X generates a code of length 86 over Z3[X]/(X^2) who´s minimum homogenous weight is 159. Homogenous weight enumerator: w(x)=1x^0+170x^159+72x^160+90x^161+344x^162+150x^163+156x^164+476x^165+168x^166+234x^167+502x^168+240x^169+186x^170+508x^171+180x^172+252x^173+472x^174+252x^175+258x^176+456x^177+198x^178+156x^179+316x^180+156x^181+78x^182+208x^183+12x^184+48x^185+92x^186+30x^187+26x^189+22x^192+12x^195+16x^198+8x^201+10x^204+4x^207+2x^210 The gray image is a linear code over GF(3) with n=258, k=8 and d=159. This code was found by Heurico 1.16 in 1.1 seconds.