The generator matrix

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

generates a code of length 77 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 144.

Homogenous weight enumerator: w(x)=1x^0+608x^144+180x^145+738x^146+2094x^147+2178x^148+2430x^149+3954x^150+3798x^151+4734x^152+4552x^153+5850x^154+6444x^155+5616x^156+5328x^157+3726x^158+2808x^159+1494x^160+882x^161+794x^162+126x^163+336x^165+234x^168+94x^171+36x^174+6x^177+8x^180

The gray image is a code over GF(3) with n=693, k=10 and d=432.
This code was found by Heurico 1.16 in 16.7 seconds.