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

generates a code of length 37 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 69.

Homogenous weight enumerator: w(x)=1x^0+72x^69+90x^70+72x^71+428x^72+204x^73+366x^74+602x^75+162x^76+24x^77+66x^78+18x^79+24x^80+30x^81+8x^84+6x^85+6x^87+6x^88+2x^102

The gray image is a code over GF(3) with n=333, k=7 and d=207.
This code was found by Heurico 1.16 in 0.0247 seconds.