The generator matrix

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

generates a code of length 45 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 80.

Homogenous weight enumerator: w(x)=1x^0+870x^80+1632x^81+5022x^82+8124x^83+12274x^84+19284x^85+27318x^86+35682x^87+49044x^88+60408x^89+64976x^90+68334x^91+63996x^92+46836x^93+33708x^94+19152x^95+8610x^96+4296x^97+1344x^98+240x^99+102x^100+60x^101+80x^102+18x^103+6x^104+12x^105+12x^106

The gray image is a code over GF(3) with n=405, k=12 and d=240.
This code was found by Heurico 1.16 in 307 seconds.