The generator matrix

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

generates a code of length 81 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 151.

Homogenous weight enumerator: w(x)=1x^0+570x^151+1266x^152+1796x^153+3582x^154+5358x^155+5454x^156+9426x^157+10812x^158+9824x^159+15450x^160+16092x^161+13472x^162+18270x^163+16344x^164+11686x^165+12354x^166+9546x^167+5532x^168+5088x^169+2598x^170+946x^171+642x^172+516x^173+98x^174+162x^175+72x^176+16x^177+54x^178+72x^179+12x^180+6x^181+12x^182+6x^183+6x^187+6x^188

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 90.4 seconds.