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

generates a code of length 38 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 67.

Homogenous weight enumerator: w(x)=1x^0+156x^67+156x^68+308x^69+588x^70+378x^71+934x^72+702x^73+2226x^74+2340x^75+2904x^76+3822x^77+2426x^78+882x^79+474x^80+368x^81+390x^82+168x^83+144x^84+162x^85+54x^86+38x^87+42x^88+12x^89+6x^91+2x^99

The gray image is a code over GF(3) with n=342, k=9 and d=201.
This code was found by Heurico 1.16 in 1.03 seconds.