The generator matrix

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

generates a code of length 77 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 143.

Homogenous weight enumerator: w(x)=1x^0+486x^143+830x^144+1758x^145+3438x^146+5204x^147+5766x^148+9150x^149+10348x^150+11526x^151+13038x^152+17032x^153+15714x^154+16398x^155+16756x^156+14070x^157+12150x^158+8742x^159+5652x^160+4248x^161+2660x^162+798x^163+612x^164+276x^165+54x^166+120x^167+80x^168+48x^169+120x^170+24x^171+18x^172+18x^173+12x^174

The gray image is a code over GF(3) with n=693, k=11 and d=429.
This code was found by Heurico 1.16 in 72.4 seconds.