The generator matrix 1 0 0 0 1 1 1 1 1 3 X+3 1 1 1 1 1 3 1 2X+3 X+6 X 1 1 1 1 1 1 1 1 1 3 X 1 2X 1 1 2X 1 1 1 1 1 6 X+6 1 2X+6 1 1 1 1 2X+6 1 1 1 3 1 1 1 1 1 1 2X+3 1 1 1 1 1 1 1 1 1 1 1 X+3 1 1 0 1 0 1 0 2X+3 1 X 1 6 3 2X+3 X+6 1 0 1 0 0 3 6 3 X X+6 2X 2X+3 2X+6 8 X+7 2X+2 2X+1 1 X+4 1 1 1 X+1 4 8 X+8 5 1 2X+7 2X+5 2X 1 1 2X+2 1 0 X+7 1 2X+5 2X+5 2X+1 7 2X+7 1 1 2X+3 1 4 2X+1 6 X+6 1 2X+3 2X 2X 1 0 8 2 2X+6 2 2X+5 2X 2X+8 0 X+1 2X+7 2X+6 1 X+5 6 1 2X+2 2 1 5 X+5 X+3 X+6 1 X+5 1 1 4 1 X+3 1 1 2X+3 1 0 0 0 1 0 2X+4 X+3 X+4 X+8 3 1 1 7 6 4 2X+5 X+5 X+8 X X+8 7 2X+1 X+1 4 2X+7 2X+3 X+3 8 2X X+1 X+2 2X+1 8 5 3 8 2X 0 2X+7 X+8 8 2X+7 X+6 7 1 3 X 2X 1 2X+5 X+1 X+2 5 X+6 X+3 2X+6 X+8 X+4 X+2 2 0 5 1 2X+6 1 7 X 1 2X+6 2X+8 1 X+5 2X+3 8 3 X+6 2X+3 1 2X+1 X+1 2X+5 2X+4 7 0 2X+2 X+2 2X+7 X+4 1 X+7 3 0 0 0 1 2X+2 X+2 X+3 X+1 4 2X+4 2X+2 1 X+4 X 2X+8 7 5 2X+6 X+7 0 X+7 1 8 2X 2X+6 5 2X 2 X+4 X+3 2X+8 X+6 X 7 5 2X+4 X+8 2 2X+7 X+5 3 5 X+3 X+4 2X+4 3 X+7 2X+7 2X+4 8 2X+7 8 6 2X+2 2X X+6 2X+7 8 X+1 2X+5 X+5 5 2X+1 X+1 2X+2 3 2X+2 6 X+6 X 2X 2X+3 0 X+8 X+5 X+7 X+5 X+4 X+3 X+1 2X+1 0 X+1 X+4 X+2 X+8 4 2X+7 2X 2X+3 generates a code of length 90 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 167. Homogenous weight enumerator: w(x)=1x^0+582x^167+876x^168+3156x^169+5454x^170+7280x^171+12528x^172+15072x^173+17386x^174+26058x^175+30294x^176+31742x^177+40878x^178+43056x^179+42546x^180+50316x^181+46146x^182+37114x^183+37134x^184+29310x^185+18590x^186+16014x^187+9036x^188+4870x^189+3114x^190+1740x^191+568x^192+246x^193+72x^194+92x^195+54x^196+18x^197+30x^198+30x^199+6x^200+12x^201+12x^202+6x^203+2x^207 The gray image is a code over GF(3) with n=810, k=12 and d=501. This code was found by Heurico 1.16 in 659 seconds.