The generator matrix 1 0 0 1 1 1 1 1 1 1 3 1 X+3 1 1 1 X 1 1 1 X+3 2X+3 1 1 X+3 1 3 1 2X 1 X+3 1 1 1 2X+6 1 1 1 2X 0 1 1 1 2X+6 1 1 X+3 1 X+6 6 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2X 2X+6 0 1 X X 2X+3 1 1 1 X 1 1 X+6 1 1 0 1 0 0 6 2X+4 2X+1 X+8 X+4 X+5 1 8 1 X+3 2X+2 2X+7 1 2X+8 2X+7 7 1 1 2X+3 2X+8 2X+3 X+6 X+6 X+2 1 1 1 5 6 0 1 4 X+4 5 2X+6 1 2X+5 2X 2X+1 1 X+5 4 X+3 5 1 1 2X+4 2X+6 1 X 1 X 4 2X+3 X+1 2X+3 2X+4 7 X 2X+5 X+8 2X+4 X+3 2X X+1 X+2 2X 1 1 1 X+3 1 1 1 2X+6 X+8 2X+6 1 2X+2 X+5 1 2X+6 X+1 0 0 1 2X+4 2 5 2X+1 X X+3 X+2 4 X+1 2X+2 3 2X+4 2X+3 1 2X 2X+5 2X+1 0 X+5 1 5 1 2X+8 1 3 6 2X+5 8 2X+4 2X+8 X+7 X+1 X 4 2X+8 1 X+4 X+7 2X+3 X+1 2X+5 2X+6 X+8 1 6 X+4 X+2 X+3 2X+1 2X+1 X+7 2X+6 2X+4 X+1 X+3 X+3 X+1 X+2 6 2X X+4 2X+8 2X+5 X+5 X+5 X+4 7 3 0 2X+4 2 2X+5 2X+7 3 X+6 X+7 X+8 2X+7 X+5 2X+6 2X+2 2X+6 X+8 3 0 0 0 3 3 3 3 3 3 3 0 3 0 3 6 0 6 0 6 6 3 3 0 6 3 6 6 6 6 0 6 0 0 6 3 6 6 3 0 6 0 6 0 6 6 0 3 0 0 3 6 6 0 6 3 3 3 6 0 0 6 3 0 6 6 3 6 0 6 3 3 0 3 0 3 3 6 6 3 6 0 0 3 0 3 3 3 generates a code of length 87 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 165. Homogenous weight enumerator: w(x)=1x^0+446x^165+672x^166+2358x^167+2748x^168+3012x^169+4542x^170+5114x^171+3714x^172+5868x^173+4878x^174+3672x^175+5340x^176+4266x^177+2748x^178+3030x^179+2172x^180+1452x^181+1398x^182+812x^183+252x^184+282x^185+156x^186+12x^187+6x^188+36x^189+6x^191+26x^192+12x^193+12x^194+6x^196 The gray image is a code over GF(3) with n=783, k=10 and d=495. This code was found by Heurico 1.16 in 10.2 seconds.