The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 1 1 X 1 1 X 1 X 1 1 X X 1 1 1 1 1 X X 0 1 1 1 1 1 1 1 X 0 1 0 1 X X 1 1 1 1 X 1 1 X 1 1 1 1 1 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2X X 2X 2X 2X X X X 2X 2X X X 2X X X 0 X 2X 0 X 0 2X 2X X 0 2X 2X X X 0 0 2X 2X 2X 0 X 0 0 X X X X 2X 0 0 2X 2X X X 2X 0 2X X 2X 2X 0 X X 0 X 0 X 2X 0 2X 0 2X 2X 0 X 0 0 2X 2X X 2X X 2X 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 X X 2X 2X 2X 0 X 2X X X X 2X 2X 0 X 0 X X 0 2X X X X 0 0 2X 2X 0 X X 2X 0 2X X X 2X 0 0 2X X 0 0 2X X X 0 X X X X 0 X X 0 0 X X 2X X X X 2X 2X 2X 2X 2X 0 X 0 X X 0 2X X 2X 0 X X X 0 2X 2X 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X X 2X X 0 X 2X X 2X 2X 2X X 0 X 0 0 0 X 2X X 2X 2X X 0 0 2X 2X X 0 0 X X 2X 2X 0 X 0 X 0 X 0 2X X 2X 0 0 2X 0 2X 2X X 0 X 2X 2X X 0 X 0 0 X X 2X X X X X 2X X X X 0 X 2X X 2X 0 0 2X X 2X X 2X 0 X 2X 0 0 0 0 0 X 0 0 0 0 X 2X 2X 2X 2X 2X X 0 X 2X X X X 0 2X 2X X X X X 2X 0 2X X 2X 2X X 0 X 0 0 X 2X 0 2X X 2X X X 0 X 0 0 X 2X X 2X 2X 0 2X X 0 0 X X 2X 2X X 2X X 0 0 0 2X X X X 2X X X 0 0 X 0 2X X 0 2X 0 0 X 0 2X 2X X X 0 2X X 0 0 0 0 0 0 X 0 0 X 2X 0 2X 2X X X X 2X X X X 0 2X 0 0 2X 2X 2X X 2X X 0 2X 0 0 2X 0 0 0 2X X 0 2X 2X 0 2X 0 2X 2X 2X 0 X X 0 X X 2X 2X 0 0 0 X 2X X 2X 0 2X X 2X 0 2X 2X 0 2X X X 2X 0 2X 2X 0 X X X 2X 2X X X X 2X X 2X X 0 2X 2X 0 0 2X 0 0 0 0 0 0 0 X 0 2X 2X X 0 2X 2X X 2X 2X X 2X 0 0 0 2X 2X X 2X X 0 2X X X 0 2X 0 X 2X 0 2X 0 X 0 X X 0 0 0 0 X 2X X 0 X 2X X 2X 0 2X 2X 2X X 0 0 0 2X 0 2X X 2X 2X 2X 2X 2X X 2X 2X 0 2X 2X X X 2X 0 2X 2X X X 2X 2X 2X 2X X X 2X 0 X X 2X 0 0 0 0 0 0 0 0 0 X 2X 2X 2X 2X X 0 X X 0 0 X 0 2X X X 0 0 X 2X 2X 0 2X 0 2X 0 2X 2X 0 X 2X X 0 2X X X 2X 2X 2X 0 X X 0 0 2X X 0 X 2X X 2X 0 X 0 2X 2X 2X X X X 2X 0 X 2X X 2X 2X 0 X 2X X 0 X 0 X 2X 2X 0 2X X 2X 0 0 2X 2X 2X 2X 2X X 2X 2X 0 generates a code of length 99 over Z3[X]/(X^2) who´s minimum homogenous weight is 171. Homogenous weight enumerator: w(x)=1x^0+36x^171+154x^174+306x^177+370x^180+48x^181+410x^183+150x^184+470x^186+540x^187+494x^189+960x^190+440x^192+1668x^193+474x^195+2502x^196+430x^198+2814x^199+510x^201+2280x^202+460x^204+1440x^205+428x^207+552x^208+334x^210+114x^211+344x^213+54x^214+304x^216+184x^219+154x^222+98x^225+68x^228+56x^231+24x^234+6x^237+2x^240+2x^243+2x^249 The gray image is a linear code over GF(3) with n=297, k=9 and d=171. This code was found by Heurico 1.16 in 20.2 seconds.