The generator matrix

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

generates a code of length 81 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 156.

Homogenous weight enumerator: w(x)=1x^0+1122x^156+1980x^157+1572x^158+1878x^159+2082x^160+1098x^161+1500x^162+1542x^163+960x^164+1580x^165+1428x^166+642x^167+798x^168+750x^169+222x^170+320x^171+156x^172+36x^173+10x^174+6x^176

The gray image is a code over GF(3) with n=729, k=9 and d=468.
This code was found by Heurico 1.16 in 83.8 seconds.