The generator matrix

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

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+234x^65+384x^66+486x^67+1440x^68+1250x^69+2808x^70+5316x^71+3992x^72+7938x^73+10032x^74+5684x^75+7776x^76+6900x^77+2154x^78+1404x^79+624x^80+310x^81+210x^83+50x^84+30x^86+12x^87+8x^90+2x^93+4x^96

The gray image is a linear code over GF(3) with n=333, k=10 and d=195.
This code was found by Heurico 1.16 in 64.6 seconds.