The generator matrix

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

generates a code of length 36 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 67.

Homogenous weight enumerator: w(x)=1x^0+786x^67+1974x^68+1060x^69+2304x^70+3132x^71+1718x^72+2364x^73+2706x^74+978x^75+1482x^76+1068x^77+44x^78+18x^79+18x^80+6x^81+12x^82+12x^83

The gray image is a code over GF(3) with n=324, k=9 and d=201.
This code was found by Heurico 1.16 in 5.66 seconds.