The generator matrix 1 0 1 1 1 1 1 1 0 1 3 1 1 1 1 X 1 1 1 1 1 1 1 X+3 1 1 0 2X+6 1 1 2X+3 1 1 1 1 1 1 1 1 X+3 1 X+3 1 1 1 1 1 1 1 6 1 2X+6 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 1 X X 0 1 1 8 X+3 X+2 2X+4 2X 1 X+4 1 2 2X+8 X+1 3 1 2X+8 X+1 2X+3 4 6 2X+2 2X+1 1 5 2X+6 1 1 X+5 2X+4 1 1 X+6 5 X+1 2X+1 2X+3 8 X+5 1 2X+2 1 2X X+2 2X X+6 2X+1 4 X+2 1 7 1 2X+2 X+6 X+3 2X+5 2X+1 X X+5 X+6 2X+2 5 2X+8 0 6 3 6 2X+4 1 X+4 X+3 X+6 2X+6 1 2X+4 X+7 X+7 X+6 2X+2 X+3 X 0 0 2X 0 3 3 6 0 2X+6 X+3 X+3 X+3 2X+3 2X+6 X+6 X+3 3 6 X+6 3 2X+6 X+3 X+6 3 2X 2X+3 2X 3 2X 2X+6 X X+6 X+6 3 0 X+3 2X+3 2X X 2X X+3 2X 2X+6 2X+3 X 2X+6 2X 2X+6 6 X+6 X X+3 2X+3 2X 3 X+3 2X+3 6 X+6 X 6 3 2X+6 2X+3 0 6 2X+3 6 0 X+3 X X+6 X+3 2X 2X+6 X 3 6 X+6 6 X 0 0 0 6 6 0 3 3 3 6 6 0 0 3 0 0 3 0 6 6 6 3 3 3 6 3 6 0 0 6 3 3 0 3 6 6 6 3 6 0 0 3 0 6 3 6 0 3 3 3 6 6 6 3 3 6 3 0 3 3 6 0 3 0 3 6 3 0 6 0 0 6 3 0 0 0 0 6 6 3 3 generates a code of length 81 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 154. Homogenous weight enumerator: w(x)=1x^0+312x^154+744x^155+564x^156+1200x^157+1626x^158+1242x^159+1572x^160+2034x^161+1882x^162+1512x^163+1746x^164+1452x^165+1014x^166+1122x^167+408x^168+516x^169+384x^170+26x^171+96x^172+78x^173+10x^174+36x^175+24x^176+36x^178+6x^179+24x^181+6x^182+2x^183+6x^188+2x^198 The gray image is a code over GF(3) with n=729, k=9 and d=462. This code was found by Heurico 1.16 in 1.62 seconds.