The generator matrix

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

generates a code of length 36 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 67.

Homogenous weight enumerator: w(x)=1x^0+1122x^67+1518x^68+1104x^69+2478x^70+2568x^71+1850x^72+3198x^73+2196x^74+910x^75+1752x^76+840x^77+96x^78+6x^79+6x^80+6x^81+24x^82+2x^84+6x^85

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 2.56 seconds.