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 X 1 X 1 1 1 1 0 1 1 1 1 X 1 1 1 1 1 1 1 1 X 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 X X X 1 X 1 1 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 2X X+3 6 3 2X+3 X+3 X+6 2X 0 2X+3 2X+6 6 X 3 2X+6 X+3 0 X+3 6 X+6 X X+6 X+6 2X+3 2X+6 X+3 2X 2X+3 X+3 3 X X+3 6 2X+3 3 X+3 X X+3 2X 0 X 2X 2X X+3 X+3 2X X+3 6 X+6 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 3 3 6 6 0 3 3 6 6 0 6 6 6 3 3 6 3 0 0 0 6 6 0 3 6 6 0 0 3 6 6 3 3 0 6 6 3 3 0 6 3 6 0 0 6 6 3 6 3 0 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 6 0 6 3 6 3 0 3 0 3 3 0 0 0 3 3 6 3 0 0 3 3 0 0 0 3 3 6 6 6 3 0 0 3 0 3 0 3 3 6 3 0 0 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 3 0 3 3 6 3 3 0 6 3 3 6 6 0 6 3 6 3 6 6 6 3 3 6 3 0 6 0 0 6 3 3 3 0 0 3 6 6 6 3 6 3 0 0 6 6 0 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 6 3 3 6 6 0 6 3 3 3 0 6 3 0 3 3 3 0 0 6 0 6 6 3 6 3 0 3 3 6 6 3 0 3 0 0 0 6 6 0 6 3 0 0 0 3 0 generates a code of length 84 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 153. Homogenous weight enumerator: w(x)=1x^0+54x^153+114x^155+164x^156+372x^158+320x^159+444x^161+758x^162+1068x^164+2390x^165+2634x^167+3438x^168+2838x^170+2822x^171+624x^173+586x^174+390x^176+142x^177+162x^179+128x^180+84x^182+62x^183+6x^185+10x^186+12x^188+18x^189+12x^192+12x^195+4x^198+6x^201+2x^204+4x^207+2x^219 The gray image is a code over GF(3) with n=756, k=9 and d=459. This code was found by Heurico 1.16 in 3.38 seconds.