The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  3  1  1  X  X  1  1  X  1  1  1  X  X  1  1  X  1  6  0  1  1  1  1
 0  X  0  0  0 2X X+3 2X+3  X 2X+3  3  3 X+3 2X+3 2X X+3 X+3 X+3 2X+3 X+6  0 X+6 2X 2X+3 2X+6  3  3 2X+3 2X+6 X+3 2X+3 2X+6  0  X  6  X  0 2X+3  6  X 2X+6  6  3  X  3 2X+6  X  0 X+6 X+3 2X+3 X+3 2X+3 2X+6  X  0  3  X 2X+6  6  3 2X+6 2X 2X+6 X+3  X  6 2X+3  X  6  0 2X+3 2X+3  X  3 2X+3 X+3 X+3  0
 0  0  X  0  6  3  6  3  0  0 X+3 2X+6 2X+6 2X+3 X+6  X 2X  X 2X+6  X 2X+6 2X+6 X+3 X+3 2X 2X+6 X+6 2X X+6 2X  6 X+6 X+6 X+3 X+3 X+3 2X+3  6  3  6 X+3  X  0  6  6  6 X+6 2X+6  0  0 2X+3  6 2X+6 2X X+3  3  X 2X+3  6 2X 2X  0 2X+3  3 X+3 2X X+3  X  3 2X X+6  6  0 2X+6  X 2X 2X+3  3  0
 0  0  0  X 2X+3  0 2X X+6  X 2X 2X+3  6  3  0  6 X+6 X+6  3 2X+6 2X 2X 2X+6 2X X+6 X+6 X+3 X+3 2X+3 2X+3 2X  X  3 2X+3 X+6  X  0 X+3 X+6  6 2X+6  X  X 2X+3 X+6  X  0  6  3  X  6 2X+3  6  0  X  6  3  X  0 2X+3 X+6  0  6 X+6 X+6 2X  X  6  6 X+6 X+6 2X  3 2X+3 2X+6 2X+3  3 X+3 2X 2X+3

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

Homogenous weight enumerator: w(x)=1x^0+104x^147+126x^148+186x^149+580x^150+354x^151+492x^152+974x^153+1158x^154+1152x^155+1492x^156+2322x^157+2256x^158+1698x^159+2490x^160+1350x^161+908x^162+576x^163+126x^164+276x^165+120x^166+102x^167+284x^168+72x^169+84x^170+134x^171+48x^172+54x^173+84x^174+24x^175+30x^176+12x^177+6x^180+6x^183+2x^207

The gray image is a code over GF(3) with n=711, k=9 and d=441.
This code was found by Heurico 1.16 in 2.81 seconds.