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

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+514x^144+18x^146+1220x^147+108x^148+306x^149+1432x^150+648x^151+2376x^152+2322x^153+1296x^154+3978x^155+1878x^156+864x^157+612x^158+808x^159+592x^162+390x^165+184x^168+106x^171+22x^174+6x^177+2x^207

The gray image is a code over GF(3) with n=693, k=9 and d=432.
This code was found by Heurico 1.16 in 3.36 seconds.