The generator matrix 1 0 1 1 1 1 1 X 1 1 2X 1 1 1 2X 1 1 1 1 6 1 2X+6 1 1 2X 1 1 1 1 X 1 1 1 1 1 0 1 1 0 1 1 1 6 1 0 1 0 1 1 8 6 2X+1 8 1 2X+7 8 1 0 3 2X+1 1 2X+5 X X+5 1 1 1 1 X+6 X+8 1 7 X+3 0 7 1 2X+3 2 5 2X+7 8 1 2X+6 2X+6 1 2X+4 7 X+3 X 2X+3 3 2X+8 0 0 2X 0 6 0 0 3 6 6 0 X+6 2X X 2X+6 X+6 2X 2X+3 2X 2X+6 X X+6 2X+3 X+6 2X+3 2X+3 3 X+3 3 X+6 X 2X+6 2X+3 X X+3 X+3 2X X+3 X+3 2X 3 0 X+3 0 X 2X+3 0 0 0 X X+6 X+3 3 X 2X+6 2X+3 2X+3 X+6 2X+3 2X+3 2X+3 3 X 2X X+3 X 0 6 3 2X+3 6 2X+3 2X 2X+6 6 X+6 6 X+6 0 X 0 X 2X 2X 2X X 2X+3 3 X+6 2X+6 2X 3 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+480x^83+524x^84+594x^85+1878x^86+2142x^87+2826x^88+4728x^89+4768x^90+6714x^91+7320x^92+6902x^93+7344x^94+5634x^95+3360x^96+1440x^97+1356x^98+382x^99+36x^100+348x^101+134x^102+102x^104+6x^105+18x^107+6x^108+6x^110 The gray image is a code over GF(3) with n=414, k=10 and d=249. This code was found by Heurico 1.16 in 7.44 seconds.