The generator matrix

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

generates a code of length 81 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 153.

Homogenous weight enumerator: w(x)=1x^0+508x^153+636x^154+1764x^155+3464x^156+2814x^157+3774x^158+5538x^159+3492x^160+5280x^161+5778x^162+3816x^163+4716x^164+5488x^165+2988x^166+2898x^167+2922x^168+984x^169+804x^170+734x^171+312x^172+180x^173+66x^174+12x^175+6x^176+24x^177+6x^178+18x^179+14x^180+6x^181+6x^183

The gray image is a code over GF(3) with n=729, k=10 and d=459.
This code was found by Heurico 1.16 in 9.25 seconds.