The generator matrix 1 0 0 1 1 1 1 1 1 1 6 1 X+6 1 1 1 X 1 1 1 X+6 2X+6 1 2X+6 1 1 X 1 0 1 1 1 X+3 6 1 1 1 1 2X+3 1 1 3 1 1 1 1 1 1 2X+3 1 1 1 1 1 6 2X+6 1 1 1 2X 1 1 1 1 1 1 2X 1 1 1 1 2X+3 1 1 6 1 X 1 1 1 1 0 1 1 X+3 2X 1 0 1 0 0 3 2X+7 2X+1 X+8 X+7 X+2 1 8 1 X+6 2X+5 2X+7 1 2X+8 2X+1 4 1 1 2X 3 2X+3 X+2 2X+6 X+6 1 2X+2 X+6 2X+5 1 1 2X+4 1 X X+8 1 X+4 2 1 X+4 8 X+2 X+7 2X X+3 1 2X+2 7 1 X+8 X+4 1 2X 2X+2 X+7 5 1 2X+7 3 0 X 0 X+7 1 X+4 2X+5 X+5 X X+3 X+3 X+2 X+6 2X 1 2X+1 2X+1 X+4 2X+7 1 2X+4 8 1 1 X 0 0 1 2X+7 5 2 2X+1 X+3 X+6 X+5 7 X+1 2X+5 6 2X+7 2X+3 1 2X 2X+5 2X+1 0 X+5 1 1 2 2X+8 1 2X+5 X+2 8 2X+3 X+4 X+6 X+1 X+6 X+8 X+1 3 2X+1 4 X+6 X+3 2X+2 1 8 X+7 X+4 X+2 0 X+6 1 5 7 2X+3 2X+5 1 X+5 2X+6 3 4 2X+8 X+3 X+1 5 7 X+3 X+8 5 2X+1 2X+5 2X+7 1 4 X+4 1 7 2X+5 0 3 2X+8 X+2 2X+6 4 X+6 2X+7 2X X 0 0 0 6 6 6 6 6 6 6 0 6 0 6 3 0 3 0 3 3 6 6 0 3 3 0 6 0 3 3 3 0 3 6 3 0 3 0 3 6 3 3 3 3 0 0 6 0 6 6 0 0 6 0 3 6 3 6 6 0 6 0 6 6 0 3 3 0 0 6 0 6 3 0 0 3 6 0 6 0 3 6 0 6 0 3 3 generates a code of length 87 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 165. Homogenous weight enumerator: w(x)=1x^0+550x^165+858x^166+1992x^167+3276x^168+2988x^169+4344x^170+5064x^171+3888x^172+4710x^173+5004x^174+3828x^175+4638x^176+5014x^177+3282x^178+2730x^179+2902x^180+1434x^181+1296x^182+708x^183+222x^184+162x^185+48x^186+12x^187+30x^188+10x^189+6x^190+6x^191+14x^192+6x^193+6x^194+8x^195+6x^197+6x^203 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 10.3 seconds.