The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+66x^81+54x^82+330x^83+552x^84+432x^85+936x^86+2086x^87+1296x^88+1956x^89+3766x^90+1728x^91+1830x^92+2724x^93+864x^94+648x^95+230x^96+114x^98+22x^99+18x^101+12x^102+2x^105+6x^108+6x^111+4x^114

The gray image is a code over GF(3) with n=405, k=9 and d=243.
This code was found by Heurico 1.16 in 0.753 seconds.