The generator matrix

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

generates a code of length 77 over Z9[X]/(X^2+6,3X) 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 16.9 seconds.