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

generates a code of length 38 over Z3[X]/(X^3) who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+62x^60+108x^63+262x^66+266x^69+486x^70+204x^72+972x^73+246x^75+14580x^76+258x^78+972x^79+158x^81+486x^82+270x^84+202x^87+96x^90+32x^93+22x^96

The gray image is a linear code over GF(3) with n=342, k=9 and d=180.
This code was found by Heurico 1.16 in 1.62 seconds.