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 X 1 X 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 X 1 1 1 1 X 1 X 1 1 X 1 1 1 1 X 1 X 1 0 0 X X 1 0 X 2X 0 X+3 2X 0 X+3 2X 6 X+3 2X 2X+6 0 X+3 X+6 2X+6 6 2X 0 X+3 X+6 0 2X 6 X 2X+6 2X+3 6 X+6 2X 0 X 6 2X X+3 3 X+3 2X+3 2X X+6 2X+3 0 2X+6 X 6 3 2X+6 X+3 2X 6 X+6 X+6 0 3 X+3 X 0 0 6 2X 3 X+3 2X+3 2X+3 2X 2X+6 2X+3 2X+3 X+3 X+3 2X+6 2X X+3 X X X+3 X+3 0 0 0 6 0 0 0 0 3 6 0 6 3 3 0 0 6 0 0 6 3 3 6 6 3 3 6 0 3 3 6 6 3 0 6 3 3 6 3 0 6 3 0 6 6 6 6 3 3 6 6 0 0 6 3 6 0 6 3 3 6 3 6 0 3 3 6 6 0 3 0 6 0 6 3 6 3 3 3 0 0 0 0 6 0 0 0 0 0 3 0 6 3 6 6 6 6 3 6 3 6 6 0 3 6 0 6 6 3 3 3 6 6 0 0 6 6 6 3 0 3 0 3 3 0 3 0 0 3 0 3 0 3 3 0 6 0 3 6 6 3 6 0 6 0 3 0 3 3 0 6 3 6 0 3 3 3 0 0 0 0 0 0 3 0 6 3 6 6 0 6 3 0 3 0 3 0 3 3 0 0 3 6 6 0 0 3 3 3 3 0 6 0 0 0 3 0 3 3 3 3 6 3 6 0 3 3 6 6 6 3 3 6 0 0 6 0 0 3 3 0 3 0 6 0 6 6 6 6 0 6 0 6 6 3 3 3 3 0 0 0 0 0 6 6 0 3 6 0 0 6 6 3 3 6 6 0 3 0 0 3 6 6 6 6 0 6 3 0 6 0 6 6 6 0 3 6 6 3 0 6 6 3 3 3 0 6 6 3 3 0 3 0 0 3 6 0 6 0 3 3 0 6 3 0 3 0 0 3 6 6 6 6 0 6 0 0 generates a code of length 79 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 144. Homogenous weight enumerator: w(x)=1x^0+40x^144+24x^145+84x^146+230x^147+144x^148+258x^149+456x^150+210x^151+630x^152+972x^153+198x^154+2184x^155+1808x^156+198x^157+3708x^158+2348x^159+192x^160+2508x^161+1512x^162+216x^163+606x^164+314x^165+144x^166+132x^167+158x^168+84x^169+48x^170+86x^171+48x^172+42x^173+30x^174+6x^176+16x^177+20x^180+6x^183+8x^186+4x^189+6x^192+2x^195+2x^198 The gray image is a code over GF(3) with n=711, k=9 and d=432. This code was found by Heurico 1.16 in 3.12 seconds.