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 X 1 1 X 0 1 1 1 X 1 1 X 1 1 1 1 0 X 2X 0 X+6 2X 0 X+6 2X 3 X+6 2X X+3 2X+3 0 X+3 3 2X+6 X+6 3 2X 2X+6 0 X+6 6 X 2X X 3 2X+3 0 X+6 2X 2X+3 2X X 3 3 X X+6 6 X+3 2X 2X+3 3 0 0 0 0 3 0 0 0 0 6 3 0 3 6 3 0 6 6 6 0 3 6 6 0 0 6 0 3 0 6 6 6 6 0 3 6 6 0 3 3 6 3 0 6 0 0 0 6 0 0 0 0 3 0 0 0 0 0 6 3 6 6 6 3 6 6 6 6 3 0 0 6 3 3 3 3 6 6 3 6 3 6 0 0 0 0 6 6 0 0 3 0 3 3 3 0 0 0 0 0 6 0 3 6 3 3 6 6 6 6 0 0 0 0 3 6 6 6 3 0 6 6 0 3 0 0 6 6 0 3 6 6 3 3 0 0 6 6 0 3 0 3 0 0 0 0 0 0 3 3 0 6 3 3 3 6 0 6 6 6 6 6 3 6 3 0 0 3 0 3 3 0 6 0 6 6 3 0 6 6 0 3 6 0 0 6 3 3 6 0 generates a code of length 47 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 81. Homogenous weight enumerator: w(x)=1x^0+70x^81+42x^83+224x^84+144x^85+156x^86+336x^87+132x^88+168x^89+1512x^90+270x^91+1722x^92+4642x^93+288x^94+3258x^95+4704x^96+348x^97+264x^98+540x^99+216x^100+180x^101+162x^102+54x^103+42x^104+110x^105+6x^106+30x^108+28x^111+14x^114+14x^117+2x^120+2x^123+2x^126 The gray image is a code over GF(3) with n=423, k=9 and d=243. This code was found by Heurico 1.16 in 1.61 seconds.