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

generates a code of length 35 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 62.

Homogenous weight enumerator: w(x)=1x^0+414x^62+298x^63+828x^65+772x^66+324x^67+3204x^68+1758x^69+2268x^70+5736x^71+1702x^72+324x^73+906x^74+378x^75+432x^77+150x^78+132x^80+42x^81+12x^83+2x^93

The gray image is a code over GF(3) with n=315, k=9 and d=186.
This code was found by Heurico 1.16 in 16.5 seconds.