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 0 1 2X 1 2X 1 1 1 0 1 0 1 X 1 1 1 1 0 X 1 1 1 X 1 1 1 X 1 2X 1 2X 1 1 2X 1 1 1 1 2X X 1 1 0 0 0 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 1 2 1 X X 0 X 2X 1 2X+2 2X X 1 2 X 2X+1 1 X 1 2 2X+2 X+1 1 2X+1 2X 2 1 2X 0 2X+1 1 X+1 X+2 1 2X+2 2X+2 X+2 X+2 1 1 2X 2X+2 2X 1 1 X+1 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 2 1 2X+2 X+1 2X+1 X+1 X+2 1 2X+2 2X+1 1 2X+1 X+1 X+1 1 2X+1 2X+2 X+2 2X X+1 2X 0 1 2 1 1 2X+2 2X 2X+2 X+2 2X+1 2X+2 1 X+2 0 2X+2 1 X+1 2X 1 2X+1 2X+2 2X 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+2 2X+2 2X+2 0 2 1 2X+2 X+1 2X 2X X+2 2 X+1 2X+2 2X 2X 0 X+1 0 X+1 X X 2X+1 2 X+2 X 2X+1 2X 2 X+1 X X+2 X+1 0 2X+1 X+1 X X+2 X+1 2X+2 2X 1 X+1 1 X+1 2X+2 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 0 2X 0 X+1 X 2 X X+2 2X+1 X+2 2 2 1 1 2X+2 1 2X+1 1 2X+1 2X+2 X+2 0 X 1 2 1 0 2 0 X 2 X X+1 2X+1 2 0 2 1 1 2 0 2X+2 2 X 1 generates a code of length 89 over Z3[X]/(X^2) who´s minimum homogenous weight is 161. Homogenous weight enumerator: w(x)=1x^0+288x^161+390x^162+408x^163+1116x^164+960x^165+768x^166+1818x^167+1724x^168+1230x^169+2412x^170+2014x^171+1524x^172+3324x^173+2508x^174+1722x^175+3468x^176+2782x^177+1734x^178+3594x^179+2666x^180+1752x^181+3654x^182+2336x^183+1638x^184+2796x^185+1932x^186+1350x^187+1992x^188+1302x^189+606x^190+1122x^191+750x^192+282x^193+486x^194+238x^195+96x^196+174x^197+60x^198+12x^199+14x^201+2x^204+2x^207+2x^219 The gray image is a linear code over GF(3) with n=267, k=10 and d=161. This code was found by Heurico 1.16 in 75.1 seconds.