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 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 1 1 X X 1 1 1 X 1 1 1 X X 1 1 1 0 1 X X X 1 1 1 1 0 X 0 0 0 0 0 0 0 0 0 0 0 0 X 2X 2X X 2X 2X 2X X 2X 2X X X 2X 0 X X X X X 0 2X X X X X 0 X 0 X 2X 2X X 0 2X 0 X 0 2X X 2X 0 X 2X 2X 0 X 2X 0 0 0 X X 2X X X 0 X 0 X 2X 0 X X X X 2X 2X X 2X 0 0 0 0 2X 0 X X X X 0 2X X X 2X 2X 0 0 X 0 0 0 0 0 0 0 0 X 2X 2X 2X 2X 0 X 0 X X 2X 2X 0 X X 0 2X 2X 0 2X 0 X 0 0 X 2X 0 2X X 0 X X X X 0 2X 2X 2X 0 X X 2X 0 2X X 0 0 2X 2X 0 0 X 0 X 2X X 0 X X 2X 2X X 2X 2X 2X X X 2X 2X 2X 0 X 0 2X 0 0 2X 2X 0 X X 0 X 2X 2X X 2X X 0 0 0 X 0 0 0 0 X 2X 2X 2X 0 0 X 0 X 2X X 2X 2X 2X 0 X X 0 2X X 0 X 0 0 X 0 2X 2X X 0 X X 0 2X X 0 X X 2X 0 2X 2X 2X X 0 0 2X X 2X 2X X 2X X 0 X 2X X X 0 2X 0 X 2X 0 2X X 0 2X 0 2X 0 2X 0 X 0 0 0 X X 0 X 0 X X 0 0 2X 2X 0 0 2X 0 0 0 0 X 0 0 X 2X 0 2X 0 0 2X 2X X X X 2X X 0 2X 2X X 0 0 2X 2X 0 2X 0 0 X X 2X X 0 X 0 2X 2X 0 0 2X X X 2X X X 0 X 2X X X X 0 2X 2X 0 2X 2X X 0 0 X 0 0 2X 0 2X 0 2X 0 2X 2X X 2X 2X X 2X 0 0 X 0 0 0 2X X X 2X 0 X 0 0 X 2X 2X X 2X 0 0 0 0 0 X 0 2X 2X X 0 2X 2X 2X 2X 2X 2X 0 X 0 0 2X 0 2X X X 0 X X 0 0 0 0 X 2X 2X 2X X X X X X 2X 2X 2X 2X 2X 0 2X 2X 0 2X 2X X 0 2X 0 2X 0 X 2X 2X 0 2X 0 X 2X 0 0 0 0 0 0 2X X X 2X 2X 0 X 2X 0 0 2X 2X 0 X X X 2X 2X 2X 2X X X X X 0 0 0 0 0 0 0 0 X 2X 2X 2X 2X 2X 2X X X X 0 2X 0 0 X 0 2X X X X 0 2X 0 0 0 X 2X 0 2X X 0 0 0 2X 0 0 X 2X 0 2X 0 X 2X X 2X 2X X X X 2X 2X X 0 X 2X X X X X X X 0 0 0 2X 0 X 0 0 0 X 2X 0 0 2X X X X X 2X 0 X X 0 2X X 0 X 2X 2X 0 2X X generates a code of length 99 over Z3[X]/(X^2) who´s minimum homogenous weight is 180. Homogenous weight enumerator: w(x)=1x^0+124x^180+198x^183+6x^184+244x^186+60x^187+230x^189+282x^190+184x^192+636x^193+194x^195+924x^196+158x^198+1146x^199+130x^201+870x^202+140x^204+366x^205+94x^207+84x^208+90x^210+90x^213+86x^216+62x^219+56x^222+30x^225+32x^228+26x^231+6x^234+6x^237+4x^240+2x^267 The gray image is a linear code over GF(3) with n=297, k=8 and d=180. This code was found by Heurico 1.16 in 33.7 seconds.