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 X 1 1 1 1 X X 1 1 1 1 X X 1 1 X 0 X 0 0 0 2X 3 6 0 3 6 X 2X+6 2X X+6 X+3 X+6 2X+6 2X+3 2X X+3 2X X+6 2X+3 X+6 2X X+3 0 X+6 X+6 X+6 X 2X 6 6 0 X 3 2X+6 2X+3 2X 2X+3 2X 3 X+6 3 0 0 X 0 3 6 2X+6 X+6 2X+3 X+6 2X+3 X X 2X+6 6 X+6 X+6 3 3 X 2X+3 2X+3 2X 2X+3 3 X 2X 2X 2X+3 2X+3 0 0 2X+3 0 3 X X+3 X+6 X+6 2X 2X+6 3 X 2X 3 X 0 0 0 X 2X+6 0 6 2X+3 X+6 X+6 2X 2X+6 3 3 2X+3 X+6 6 2X+6 X+3 2X 0 X+3 X 2X X+6 X 2X 2X+3 6 X+3 3 2X 0 X+3 2X X+3 0 2X 3 X 2X+3 2X X+3 X+6 3 2X generates a code of length 46 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 83. Homogenous weight enumerator: w(x)=1x^0+312x^83+260x^84+840x^86+570x^87+486x^88+1542x^89+1774x^90+1944x^91+3384x^92+3018x^93+1944x^94+1728x^95+576x^96+516x^98+190x^99+318x^101+122x^102+96x^104+42x^105+12x^107+6x^108+2x^120 The gray image is a code over GF(3) with n=414, k=9 and d=249. This code was found by Heurico 1.16 in 1.37 seconds.