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  0  0  0  0  0  0  0  0  X 2X 2X  X  X  X  0 2X  X  X  X  0 2X  X  0 2X  X  X  0  X  X  X  0  X  0
 0  0  X  0  0  0  0  X 2X 2X 2X  0  0 2X  X 2X  X  0 2X  X  X  0  X  X  0  X  X 2X  X  X  0  0  0  0 2X
 0  0  0  X  0  0  X 2X  0 2X  0  0 2X  X  X 2X  0  X 2X 2X  0  0 2X  0  X 2X  0 2X 2X  X 2X 2X  X  X  0
 0  0  0  0  X  0 2X 2X  X  0 2X 2X 2X  0 2X 2X  0 2X  0 2X  0  X  0  X 2X 2X 2X  0  0 2X  0 2X  X  X  0
 0  0  0  0  0  X 2X 2X 2X 2X 2X 2X  X 2X  X  X 2X  X  X 2X  X 2X 2X 2X  0  0  X 2X  0 2X  X  X  X  0 2X

generates a code of length 35 over Z3[X]/(X^2) who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+132x^60+108x^63+204x^69+1458x^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=105, k=7 and d=60.
This code was found by Heurico 1.16 in 0.528 seconds.