The generator matrix

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

generates a code of length 76 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 144.

Homogenous weight enumerator: w(x)=1x^0+288x^144+270x^145+1014x^146+1050x^147+1116x^148+2088x^149+1388x^150+1674x^151+2268x^152+1718x^153+1290x^154+1944x^155+1224x^156+864x^157+804x^158+260x^159+108x^160+84x^161+62x^162+24x^163+18x^164+30x^165+24x^167+24x^168+6x^170+14x^171+12x^173+6x^174+8x^177+2x^180

The gray image is a code over GF(3) with n=684, k=9 and d=432.
This code was found by Heurico 1.16 in 1.48 seconds.