The generator matrix

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

generates a code of length 81 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 151.

Homogenous weight enumerator: w(x)=1x^0+402x^151+1158x^152+2270x^153+3414x^154+5328x^155+6758x^156+7674x^157+11508x^158+11274x^159+12900x^160+16200x^161+14860x^162+15030x^163+16890x^164+14774x^165+11460x^166+9978x^167+6330x^168+3756x^169+2466x^170+1118x^171+540x^172+474x^173+176x^174+132x^175+54x^176+18x^177+78x^178+66x^179+12x^180+6x^181+24x^182+12x^184+6x^185

The gray image is a code over GF(3) with n=729, k=11 and d=453.
This code was found by Heurico 1.16 in 76.9 seconds.