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

generates a code of length 37 over Z3[X]/(X^3) who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+162x^60+194x^63+244x^66+704x^69+1530x^72+13122x^74+1982x^75+1118x^78+238x^81+182x^84+116x^87+60x^90+22x^93+6x^96+2x^99

The gray image is a linear code over GF(3) with n=333, k=9 and d=180.
This code was found by Heurico 1.16 in 4.06 seconds.