The generator matrix

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

generates a code of length 54 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 97.

Homogenous weight enumerator: w(x)=1x^0+342x^97+1176x^98+3636x^99+6042x^100+10056x^101+15300x^102+20622x^103+27660x^104+38786x^105+43488x^106+54366x^107+63626x^108+59502x^109+56856x^110+50070x^111+34266x^112+21882x^113+13292x^114+5952x^115+2880x^116+1092x^117+300x^118+66x^119+60x^120+66x^121+12x^122+32x^123+6x^124+6x^125

The gray image is a code over GF(3) with n=486, k=12 and d=291.
This code was found by Heurico 1.16 in 377 seconds.