The generator matrix 1 0 0 0 0 1 1 1 2X 0 2X 2X X X 1 1 0 X 1 1 2X X 1 1 1 1 1 2X 1 1 1 1 0 1 1 1 2X 1 1 1 1 0 1 1 1 1 2X 2X 1 1 1 1 2X 1 1 1 1 2X 1 2X 1 1 1 1 1 0 1 1 1 1 0 0 1 1 1 0 1 1 1 1 1 1 1 1 2X X 1 2X 0 X 1 1 1 1 1 X 1 X 1 0 1 0 0 0 0 0 0 0 1 1 1 1 1 2X X 2X 2X X+2 2X+1 X X X+1 2X+2 2X+1 X+1 X 2X 0 X 2X+2 2X+2 1 X+1 2X 1 1 2X+2 2X+1 2X+2 X+2 1 X X+1 2X+2 2 1 1 0 1 2X X+1 1 2X+1 2X+2 0 2X+1 1 X+2 1 0 X 1 X 1 1 2X+1 0 1 2 1 1 1 X 2X 1 2 1 X+1 X+1 2X+2 1 2X 2X+1 2X 0 2X+2 2X X 1 1 X 2X+1 1 2 1 2 1 1 0 0 1 0 0 0 1 2X+1 1 1 2X 2X+1 2X+2 2X+2 2 2 1 1 X+1 2X+2 1 1 X X X+2 1 X 0 2X 2X+2 X+1 0 X 1 2X X X+2 2X+1 2X+1 X+1 X+2 2X X+1 0 X+2 1 X+1 X+2 2X+2 2X+1 X+1 X X+1 2X 2X 1 X X+2 X+2 2X+2 X+2 2X+2 2X 2X+2 X+1 2X+1 2X+1 0 2X+2 X+2 X+2 X 2X+1 2 0 X+2 X+1 X+1 2X+1 X 0 1 1 2X 1 0 0 2X 1 X 2 2X+1 X+2 2 0 2X+2 0 X 2 0 0 0 1 0 1 1 2X+2 X+1 X+1 2X+1 X+2 X 2X+2 0 2X+2 2X+1 2X+2 2X 2X+1 X+2 2X X+2 X+1 0 2 2X+1 1 2 0 1 1 X+1 1 2 2X+1 X+1 X+1 0 X X X 2X 2 2X+1 2X X 2X+1 2 2X 2X+1 X+1 1 2X 0 X+2 2X+1 2 0 2X 2X+1 1 2X+2 0 2 X+2 2 0 2X+2 0 1 2 X+1 2X+2 1 X+2 1 0 0 1 X 2 X+1 1 2 1 2X+1 1 X 1 2X+1 X+1 2X 1 0 X 0 2 X 0 0 0 0 1 2 X 2X+2 2 X X+2 2 2X+2 0 2 X 1 X 0 2 2X+1 2X+2 2X+2 0 X 2X 1 1 1 X+1 X+2 2X+2 X+1 X+1 2X 0 X 0 2 X+2 2X 2X+2 2X 1 0 X+1 2 1 X+2 X+1 2 X+2 X X+1 2 X X+1 1 2X+1 0 2X 2X+1 0 X 2X+2 2X+1 2X+1 2X+2 X 2X+2 2X+2 1 2 X+2 2X+1 2 1 2 2 2X+2 2X+1 2X+2 2X+2 1 X+2 X+1 2X+1 2 2X+2 2X 2X+1 2X+2 2X+1 X+2 2X 2 2X X 2X+2 0 0 0 0 0 2X 0 2X 0 0 2X 2X 2X 0 2X 0 0 0 0 2X X 2X 2X 0 0 0 X 2X 2X 0 0 X 0 2X 2X X X 2X X X 2X X X 2X X 0 0 0 0 0 X 0 2X 2X 0 X X 2X 2X X 2X 0 0 2X 2X 2X 0 2X X X X 0 0 X 0 2X 2X 2X 0 X X 0 0 0 2X X 2X 0 X 2X 2X 2X X X 2X X 0 2X 0 generates a code of length 99 over Z3[X]/(X^2) who´s minimum homogenous weight is 177. Homogenous weight enumerator: w(x)=1x^0+208x^177+372x^178+516x^179+1282x^180+1122x^181+1476x^182+2504x^183+2046x^184+2616x^185+3990x^186+3180x^187+3654x^188+5840x^189+4938x^190+5310x^191+7232x^192+5598x^193+6372x^194+9472x^195+7182x^196+7224x^197+9846x^198+7302x^199+6996x^200+9678x^201+7170x^202+6630x^203+8656x^204+5844x^205+5310x^206+6416x^207+3966x^208+3354x^209+4080x^210+2190x^211+1866x^212+1800x^213+1110x^214+834x^215+768x^216+384x^217+198x^218+278x^219+60x^220+120x^221+82x^222+24x^223+12x^224+26x^225+4x^228+2x^234+2x^237+2x^240+2x^243 The gray image is a linear code over GF(3) with n=297, k=11 and d=177. This code was found by Heurico 1.16 in 856 seconds.