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

generates a code of length 37 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 68.

Homogenous weight enumerator: w(x)=1x^0+324x^68+300x^69+54x^70+672x^71+784x^72+216x^73+1488x^74+1266x^75+216x^76+618x^77+196x^78+210x^80+70x^81+78x^83+46x^84+12x^86+8x^87+2x^93

The gray image is a code over GF(3) with n=333, k=8 and d=204.
This code was found by Heurico 1.16 in 10.7 seconds.