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 1 1 1 1 X 2X 1 1 1 1 2X X 0 1 1 1 1 1 1 1 1 X 0 0 X 0 1 0 1 1 1 1 2X 1 1 1 1 1 1 1 1 1 2X X 1 1 1 1 X 1 1 X 1 1 2X 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 2 X+2 X+2 X 0 0 2X X+2 1 2 2X+2 1 1 1 X+1 2 2X+1 X 2X+1 2 X+1 1 1 1 1 1 1 X+1 X 2X+2 1 X 1 1 2X+1 2 2X+2 2X 2X 2X+1 1 1 0 0 0 2X+1 2X+2 2X+2 X+1 0 0 X+2 1 2X+2 2X+1 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 2 2X+1 2X+2 X+1 2X+1 1 1 2X+2 X+2 2X+2 X+1 2X+1 X+1 X+2 X+2 2X+2 2X+2 1 2X+1 1 2X+1 X+1 2X 2 2X+2 X 2X+1 0 1 2X+1 X+1 2X+1 0 X+2 2 X+2 X+2 2 1 2X+1 2X 1 2X+2 1 1 X X+1 2 2X+1 2X X+2 1 X+2 X 2X+2 0 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 X+1 1 2 2X+1 2X+2 1 X X X 0 2X+1 0 X+1 2X 2 2X+2 1 2X+2 2X+2 X+2 0 X 2X 0 2X+2 0 X+2 2 1 X+1 2 X 2 X X+1 2X+2 X+2 1 2 X+1 1 X+1 2 2 X+1 2X+2 X+2 1 1 0 2X 1 2X+2 X+1 1 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 2X X+2 0 X+2 2X+1 X+1 X X+1 2X 0 2X+2 2X 1 2 2X+1 X+1 X+1 0 2X+2 X+2 1 X+2 1 1 2X+2 2 2 0 2X+2 2X 0 X 2 X 2X 2X+1 0 2X+1 2 2X X+2 X+1 X+2 2X+1 0 2X X X+1 2X+2 X+1 2 X+2 X 1 2X 2X+1 generates a code of length 88 over Z3[X]/(X^2) who´s minimum homogenous weight is 159. Homogenous weight enumerator: w(x)=1x^0+286x^159+372x^160+474x^161+904x^162+846x^163+1158x^164+1802x^165+1422x^166+1668x^167+2340x^168+1710x^169+1968x^170+2674x^171+2172x^172+2316x^173+3266x^174+2454x^175+2388x^176+3444x^177+2586x^178+2250x^179+3344x^180+2382x^181+2190x^182+2614x^183+1770x^184+1578x^185+1826x^186+1008x^187+930x^188+996x^189+474x^190+330x^191+350x^192+240x^193+198x^194+150x^195+48x^196+48x^197+46x^198+12x^199+14x^201 The gray image is a linear code over GF(3) with n=264, k=10 and d=159. This code was found by Heurico 1.16 in 89 seconds.