The generator matrix

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

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+1004x^69+1578x^70+1170x^71+2810x^72+2268x^73+1860x^74+3636x^75+1530x^76+894x^77+1644x^78+1104x^79+108x^80+30x^81+12x^83+24x^84+6x^86+4x^87

The gray image is a code over GF(3) with n=333, k=9 and d=207.
This code was found by Heurico 1.16 in 59.4 seconds.