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  1  1  1  1  1  1  1  1  1  1  1  1  X  1  1
 0  X 2X  0 X+6 2X 2X+3  3 X+6 X+6  0 2X X+6  0 2X 2X+3  6 X+3 X+6  3  0 X+3 2X+6  X  6  X X+6  3 2X+3  X 2X+3  6 2X  X 2X+3  0  0 X+6  X X+3  3 X+3 X+6  3  0
 0  0  3  0  0  0  6  0  6  3  0  3  3  3  0  3  3  0  6  3  6  0  3  3  6  0  3  0  6  0  6  6  6  3  0  6  6  6  6  3  3  0  0  0  3
 0  0  0  3  0  3  6  6  6  3  0  6  0  6  6  6  0  6  0  6  0  3  3  0  0  3  0  6  6  0  3  3  0  6  0  6  6  3  3  6  3  3  6  0  0
 0  0  0  0  6  6  3  0  6  3  6  6  0  0  6  0  3  0  6  3  6  0  6  6  0  6  3  6  6  3  0  3  3  0  3  6  0  0  3  3  0  6  0  3  3

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+30x^81+54x^82+162x^83+46x^84+102x^85+204x^86+50x^87+738x^88+186x^89+2942x^90+1380x^91+162x^92+32x^93+72x^94+126x^95+12x^96+36x^97+102x^98+18x^99+42x^100+18x^101+12x^102+6x^103+12x^104+8x^105+6x^108+2x^132

The gray image is a code over GF(3) with n=405, k=8 and d=243.
This code was found by Heurico 1.16 in 0.196 seconds.