The generator matrix 1 0 0 0 1 1 1 1 1 0 1 X 1 1 1 1 X 1 1 1 X 0 0 1 1 1 1 X 1 1 1 1 1 1 0 1 1 0 1 1 2X 1 1 1 1 X 0 X 1 2X 1 2X 2X 1 1 1 X 1 0 1 2X X 1 2X X 2X 1 1 1 1 1 X 1 2X 1 2X 1 1 1 0 1 1 1 1 1 1 X 0 1 0 0 0 0 2X 2X 0 2X 2X 2X 2X 1 X+1 2 1 2X+2 2X+1 X+2 1 1 1 2X+1 2X+1 2 X+2 1 2X+1 2 X 2X+1 X 1 1 2X X+2 1 X+2 1 0 2X+2 2X+2 2 0 1 1 0 X+1 1 1 1 0 2X+1 2X+1 X 1 0 1 X 1 1 2X+2 1 1 1 2X+2 2X+1 X+1 X X+2 1 X X 2X+1 1 2X+1 0 2X 1 X+2 X+1 1 2X+1 2 2 0 0 0 1 0 0 X 2X+1 2 2X+1 1 X+2 1 X+1 1 1 2X+1 2 X 0 2X 1 1 X+1 2 2 1 2 0 2X X+2 2X+1 2X 2X+2 1 0 2X+2 2X+2 X X X+1 1 2X+2 X 2 X+1 X X+1 1 1 0 2X+2 1 0 0 X 0 2 2X+1 X+1 2 2X+1 X 2X+2 2X+2 X+2 X+2 1 X+1 2 X+1 2X X 1 1 2X+2 2X+2 0 X+2 2 2 X X 2X+1 2X+2 X+1 2X 1 0 0 0 1 1 2X+2 2X 0 X+1 1 2X+2 X+2 2 X+2 2X 2X+1 X+1 0 2X+1 2X+1 1 X+2 X X+2 0 2X+2 X+1 2X+1 2 2 0 2X 2X+1 1 X+1 2X 0 2X+2 X+2 X X+2 X+2 2X+1 X+1 2 X 2X X X+2 X+1 1 2X+2 1 2X 2 2 0 2X+1 X+2 2X X+1 X+2 X 1 2 X X 2X X+2 X+2 2X X+2 2X X 2X+1 2X+1 X+1 2X+1 1 X 2 2X 0 0 2 X+2 1 0 0 0 0 2X 2X 2X 2X 2X 0 2X 0 2X 2X 2X 2X 0 2X 2X 2X 0 0 0 0 X X X 2X X 0 0 0 0 X X 0 X 2X 0 X 2X X 0 2X X 2X 2X X 0 0 0 2X X X 0 X X 0 X X 2X X 0 X 2X 0 2X 0 2X X X 0 0 2X X X X 2X 0 2X 2X X 0 2X 2X X X generates a code of length 87 over Z3[X]/(X^2) who´s minimum homogenous weight is 160. Homogenous weight enumerator: w(x)=1x^0+198x^160+270x^161+316x^162+618x^163+702x^164+660x^165+786x^166+930x^167+696x^168+1104x^169+1062x^170+594x^171+924x^172+1056x^173+760x^174+984x^175+924x^176+596x^177+822x^178+846x^179+552x^180+774x^181+654x^182+448x^183+474x^184+486x^185+270x^186+390x^187+192x^188+128x^189+144x^190+126x^191+56x^192+60x^193+36x^194+22x^195+6x^196+6x^197+2x^198+6x^199+2x^201 The gray image is a linear code over GF(3) with n=261, k=9 and d=160. This code was found by Heurico 1.16 in 8.79 seconds.