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 0 1 1 1 1 X 1 X 1 1 3 X 1 1 1 X 1 3 1 X X 1 1 0 X 0 0 2X X+3 X 2X+3 2X 6 3 X+3 X+3 2X+3 2X 3 X+6 2X+3 X X+3 X 2X 6 2X+6 0 X+3 2X+3 X X 3 3 6 X+6 2X X+3 6 X X 6 0 0 X+3 3 X+3 2X+6 2X+6 2X+6 2X+3 2X+6 2X 3 2X+3 2X+6 3 2X 6 2X+6 2X+6 3 X 3 2X+6 0 2X+3 2X 2X+3 X+3 6 2X+3 X 2X+3 6 3 0 2X+6 2X X 2X+3 2X+3 2X+3 2X 2X 0 0 X 2X 6 2X+3 X X+3 2X+6 2X+3 0 2X+3 6 2X 6 X X X+6 2X 0 X+6 2X 2X+3 X+6 X+6 0 3 2X+3 X 0 2X+3 6 X+3 X+6 2X 6 X+6 6 X 2X 0 3 X+3 2X X+3 6 0 2X+3 6 X 2X 2X+3 2X+3 X 2X 3 3 2X 2X+3 3 X+6 2X+3 X+6 3 0 X 2X+3 3 X+6 X+3 X 2X+6 2X 3 0 3 X+6 6 X X+6 X X+6 0 0 0 6 0 0 0 0 0 0 3 6 3 6 3 3 6 3 3 6 3 3 3 6 6 3 6 3 3 6 6 0 6 6 6 3 0 0 3 3 6 6 6 0 3 3 6 0 0 0 3 3 0 0 6 0 6 3 0 0 6 6 3 0 3 3 0 3 0 6 6 0 6 6 6 3 0 3 0 6 6 0 generates a code of length 82 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 157. Homogenous weight enumerator: w(x)=1x^0+240x^157+348x^158+108x^159+600x^160+300x^161+416x^162+1074x^163+834x^164+554x^165+1050x^166+258x^167+90x^168+300x^169+60x^170+24x^171+60x^172+36x^173+36x^175+72x^176+18x^178+12x^179+18x^180+18x^181+12x^182+6x^184+6x^185+6x^188+2x^192+2x^219 The gray image is a code over GF(3) with n=738, k=8 and d=471. This code was found by Heurico 1.16 in 3.75 seconds.