The generator matrix

 1  0  1  1  1  1  1  X  1  1 2X  1  1  1 2X  1  1  1  1  6  1  1 2X+6  1  0  1  1  1  1  1  1  1 X+3 2X+3  1  1 2X+6  1  1  1  1  1  6  6  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  7 X+7  1 2X  1  1 2X 2X+8 2X+3  2 2X+4  2  1  1 2X+6 X+7  1 2X+2  1 2X+5 2X+3  5  0  1  3
 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  3 2X X+6 2X+6 2X+6  X 2X+3 2X+6 X+3 2X+3 X+6  X  6 2X X+3 2X+3 X+3  3  3 2X+6  3  0  X X+3 X+6
 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  3 2X+6  6 2X  3  X  6  0  0 X+3  6 2X+6  3 2X  6  X X+3 X+3  6 X+3  0 2X X+3 2X+6  X

generates a code of length 45 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 81.

Homogenous weight enumerator: w(x)=1x^0+182x^81+744x^82+486x^83+1764x^84+2148x^85+2736x^86+4500x^87+5010x^88+6966x^89+7626x^90+7134x^91+7506x^92+5760x^93+3054x^94+1260x^95+1116x^96+522x^97+156x^99+258x^100+36x^102+72x^103+12x^106

The gray image is a code over GF(3) with n=405, k=10 and d=243.
This code was found by Heurico 1.16 in 8.3 seconds.