The generator matrix

 1  0  1  1  1  1  1 2X^2  1  1  1  X 2X^2+2X  1 2X^2+X  1  1  1  1  1  1  1  1  1 2X  1  1  1  1  1  1  1  1  1 X^2 X^2+X  1
 0  1  1  2 2X^2+X 2X^2+X+2 2X^2+2X+1  1 2X 2X+2 X+1  1  1 2X^2+X+2  1  0 2X^2+2X+2 2X^2+2 2X+1  1 2X^2+X 2X X^2+2 2X^2+X+1  1 2X^2+2X+2 2X^2+X+1 X^2+2 X^2+1 X^2+X+1 X^2+1 2X 2X+1 2X^2+2X+1 2X^2  1 2X^2+2
 0  0 2X  0 2X^2 2X^2 2X^2+2X 2X^2+X  0 2X^2 2X  X  X X^2+2X 2X^2 X^2+2X 2X^2+X X^2+X 2X^2+X 2X^2+X 2X^2+2X X^2+2X X^2+X  X 2X^2 X^2+X  X X^2+2X 2X^2 2X^2+2X 2X^2 X^2 2X^2+2X  0  X  0 2X^2+X
 0  0  0 X^2 X^2  0 2X^2 X^2 2X^2 2X^2 X^2  0 2X^2 2X^2 X^2 X^2 2X^2  0 X^2  0  0 2X^2 X^2 2X^2 2X^2 X^2 X^2  0 X^2 2X^2 2X^2 X^2  0  0  0 2X^2  0

generates a code of length 37 over Z3[X]/(X^3) who´s minimum homogenous weight is 67.

Homogenous weight enumerator: w(x)=1x^0+276x^67+288x^68+726x^69+1254x^70+1386x^71+1372x^72+3318x^73+2322x^74+2038x^75+3264x^76+1710x^77+834x^78+492x^79+126x^80+94x^81+102x^82+32x^84+42x^85+4x^87+2x^96

The gray image is a linear code over GF(3) with n=333, k=9 and d=201.
This code was found by Heurico 1.16 in 0.599 seconds.