The generator matrix

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

generates a code of length 79 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 147.

Homogenous weight enumerator: w(x)=1x^0+486x^147+762x^148+2232x^149+3394x^150+6012x^151+6018x^152+8298x^153+10470x^154+10158x^155+14024x^156+16398x^157+15042x^158+15960x^159+18408x^160+13452x^161+12096x^162+9084x^163+5976x^164+3808x^165+2628x^166+888x^167+674x^168+306x^169+120x^170+198x^171+60x^172+30x^173+78x^174+6x^175+18x^176+24x^177+6x^178+12x^179+8x^180+6x^181+6x^184

The gray image is a code over GF(3) with n=711, k=11 and d=441.
This code was found by Heurico 1.16 in 83.1 seconds.