The generator matrix 1 0 0 0 1 1 1 1 1 X 1 1 2X 1 2X X 1 X 1 1 1 1 1 2X 1 1 1 1 1 2X X 1 1 X 1 X 0 1 1 1 1 1 X X 1 1 1 1 X 1 X 1 X 1 1 1 1 1 1 1 1 0 1 1 1 0 1 1 1 2X 1 1 2X 1 1 1 2X 1 1 X 0 1 0 0 0 0 2X+1 X 2 1 2X X+1 1 X+1 1 1 2X+1 1 0 X X+1 X+2 2X 1 2X+1 X+1 2X+1 2X+2 2 1 1 X+1 X 2X 2X+2 1 1 2X X 0 X+1 X+2 1 0 1 X+1 X+2 2X+2 1 2X+1 1 X 1 X+2 X+1 2X+1 X+2 2X X+2 0 X+1 1 X 2 1 X 1 2X+1 X+1 1 X 1 1 X+2 X 2 1 1 0 X 0 0 1 0 0 0 2X+2 2X+1 2 2X 2X+1 X+2 X 1 X+2 X+1 X 1 X+2 2X+2 1 X X+2 2 2 X 2X X+1 2 X+1 2 2X+1 X+1 1 X 1 2 X+2 2X X+2 2X+1 2X+1 X+2 1 2X+2 0 X+2 2X X 1 X+2 2X+1 1 2X+2 1 2X+2 2X+2 2X+1 1 2X+2 1 0 2X 0 2X+2 1 2X 2X+1 X 2X X X+1 1 2X+2 0 2 2X 2X+2 2X 1 0 0 0 1 1 2 2X+2 X+1 X 2X+2 2X+2 2X+1 1 2X 0 2 X 1 X 2 X+2 X+1 X+1 2 0 2X+1 2X+2 X+2 2 2X X+1 X+1 X 2X+2 2X 0 X+1 0 0 X+1 2 2X+1 2X+2 1 X 0 2X+1 2X+2 0 X+2 2X 1 1 2X+2 2X+1 2X X+1 X+2 2X+1 2 2X+2 X+1 0 2X+2 2X+2 0 X 1 2X+2 2X+2 X+1 X+2 X 2X+1 2X+2 0 2X X X+1 0 0 0 0 0 2X 0 0 0 0 0 X 2X 2X 2X X 2X X X 2X X X X X 0 X 0 0 0 2X 0 2X 2X X X 2X 2X 0 0 X 0 X 0 X 0 X X 2X X 0 2X 0 2X X 2X 2X 2X 0 0 0 0 X 2X 2X 0 2X 0 2X X 0 0 0 X 2X X 2X X 2X 0 2X 2X 0 0 0 0 0 X X 2X 0 X 0 0 0 X 2X 2X 2X X X 0 0 X X 0 X X 0 0 X 2X 2X X X X 0 0 X X 0 0 X X X X 0 X 2X 2X 2X 0 2X 2X 0 0 2X 0 2X X 0 2X 2X X 0 X 2X X 0 0 2X 2X 0 X 2X 0 X 2X X X 2X X generates a code of length 80 over Z3[X]/(X^2) who´s minimum homogenous weight is 143. Homogenous weight enumerator: w(x)=1x^0+318x^143+278x^144+1314x^146+888x^147+2760x^149+1428x^150+3630x^152+2172x^153+4650x^155+2562x^156+5586x^158+3114x^159+6078x^161+2776x^162+5688x^164+2472x^165+4362x^167+2056x^168+2880x^170+1222x^171+1512x^173+488x^174+468x^176+134x^177+108x^179+56x^180+12x^182+14x^183+14x^186+2x^192+4x^195+2x^198 The gray image is a linear code over GF(3) with n=240, k=10 and d=143. This code was found by Heurico 1.16 in 64.8 seconds.