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  1  1  1  1 X+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  3 2X+2  8 X+5  0  7 X+4 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 X+4 X+6  1  8 2X X+1 X+8  6  6
 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 2X X+3  X 2X+6  X X+3 X+3 2X+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+844x^81+1278x^82+2862x^83+4806x^84+6030x^85+8784x^86+13008x^87+13950x^88+20844x^89+24154x^90+20106x^91+22788x^92+16860x^93+9900x^94+5742x^95+3138x^96+1224x^97+216x^98+424x^99+168x^102+18x^105+2x^108

The gray image is a code over GF(3) with n=405, k=11 and d=243.
This code was found by Heurico 1.16 in 130 seconds.