The generator matrix

 1  0  0  1  1  1  1  1  1  1  1 2X X+6  1  1  0 X+6  3  1  1  1  1 2X+6  1  1  1  1  X  1  1  0  1  1  1  1  6  1  1  1  1 2X+3 2X+3  X  1  1  3
 0  1  0  0  3 2X+7 2X+7  1 2X+5  8 X+8  1  1 2X+8 2X+8 2X+6  1  1 X+4 2X+3 X+7 2X+6  1 2X+2  X 2X+1 2X  1  7 X+5  1 X+4 2X+2 X+5  6  1 2X+3 X+4 X+6  4  1  1  1 X+1 2X+2  1
 0  0  1  1  5  5 2X+6  1 2X+5  X 2X+1 X+1 2X+5 X+5  3  1 X+4 X+6 X+3 X+4  1 2X+6  2 X+1 X+2  5 X+1 2X+5 2X+2  8  8  7 X+3 X+8 2X  0  8 X+6  4 X+7 X+6 2X+4 X+5 2X+2 X+4 X+4
 0  0  0 2X  6  3  0 2X+3 X+6  X  6  0  6  6 2X+6 2X+6 2X+3 X+3 2X+3 X+6  6  X  X 2X+3 X+3 2X+6  0 2X  X 2X  6  X  3 X+6  3 2X+6 2X+6 X+3  0 2X+6 2X  3 X+6 2X 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+726x^83+1610x^84+2484x^85+4836x^86+7458x^87+8262x^88+11208x^89+16750x^90+19656x^91+21324x^92+24296x^93+20952x^94+15072x^95+11466x^96+5292x^97+3234x^98+1636x^99+216x^100+342x^101+176x^102+108x^104+30x^105+12x^107

The gray image is a code over GF(3) with n=414, k=11 and d=249.
This code was found by Heurico 1.16 in 46.3 seconds.