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

generates a code of length 35 over Z3[X]/(X^3) who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+132x^60+108x^63+204x^69+5832x^70+78x^72+118x^78+50x^81+30x^87+6x^90+2x^105

The gray image is a linear code over GF(3) with n=315, k=8 and d=180.
This code was found by Heurico 1.16 in 1.42 seconds.