The generator matrix

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

generates a code of length 36 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+124x^66+126x^67+528x^68+596x^69+270x^70+1092x^71+1148x^72+378x^73+1134x^74+770x^75+198x^76+120x^77+16x^78+42x^80+12x^81+4x^84+2x^93

The gray image is a code over GF(3) with n=324, k=8 and d=198.
This code was found by Heurico 1.16 in 0.0741 seconds.