The generator matrix

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

generates a code of length 81 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 150.

Homogenous weight enumerator: w(x)=1x^0+1028x^150+1872x^151+4386x^152+7978x^153+10326x^154+13662x^155+18744x^156+21756x^157+28728x^158+37636x^159+39312x^160+45120x^161+51350x^162+48420x^163+47022x^164+44578x^165+33684x^166+26190x^167+21564x^168+11976x^169+7944x^170+4476x^171+2016x^172+798x^173+368x^174+198x^175+84x^176+78x^177+48x^178+24x^179+38x^180+6x^181+24x^182+6x^185

The gray image is a code over GF(3) with n=729, k=12 and d=450.
This code was found by Heurico 1.16 in 583 seconds.