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

generates a code of length 39 over Z3[X]/(X^2) who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+158x^60+324x^63+436x^66+108x^67+494x^69+486x^70+644x^72+1620x^73+728x^75+3510x^76+794x^78+3888x^79+846x^81+2754x^82+790x^84+756x^85+602x^87+370x^90+198x^93+110x^96+56x^99+8x^102+2x^105

The gray image is a linear code over GF(3) with n=117, k=9 and d=60.
This code was found by Heurico 1.16 in 5.92 seconds.