The generator matrix

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

generates a code of length 37 over Z3[X]/(X^3) who´s minimum homogenous weight is 65.

Homogenous weight enumerator: w(x)=1x^0+348x^65+688x^66+1992x^67+3756x^68+6168x^69+8778x^70+11196x^71+16806x^72+21192x^73+24270x^74+26494x^75+23148x^76+15066x^77+9738x^78+4506x^79+2016x^80+518x^81+120x^82+186x^83+88x^84+42x^85+24x^86+6x^87

The gray image is a linear code over GF(3) with n=333, k=11 and d=195.
This code was found by Heurico 1.16 in 33.4 seconds.