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

generates a code of length 76 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 141.

Homogenous weight enumerator: w(x)=1x^0+84x^141+132x^142+282x^143+414x^144+366x^145+486x^146+714x^147+840x^148+1386x^149+1282x^150+2118x^151+3606x^152+1896x^153+2256x^154+1482x^155+560x^156+270x^157+198x^158+284x^159+174x^160+138x^161+174x^162+90x^163+114x^164+116x^165+42x^166+54x^167+48x^168+24x^169+24x^170+12x^171+6x^172+6x^173+2x^174+2x^207

The gray image is a code over GF(3) with n=684, k=9 and d=423.
This code was found by Heurico 1.16 in 2.72 seconds.