The generator matrix

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

generates a code of length 41 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 77.

Homogenous weight enumerator: w(x)=1x^0+222x^77+254x^78+1002x^79+990x^80+442x^81+954x^82+624x^83+430x^84+936x^85+582x^86+50x^87+18x^88+10x^90+6x^92+14x^93+6x^95+14x^96+6x^97

The gray image is a code over GF(3) with n=369, k=8 and d=231.
This code was found by Heurico 1.16 in 0.0865 seconds.