The generator matrix

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

generates a code of length 34 over Z3[X]/(X^2) who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+474x^60+1290x^63+1362x^66+1338x^69+1242x^72+618x^75+222x^78+14x^81

The gray image is a linear code over GF(3) with n=102, k=8 and d=60.
This code was found by Heurico 1.16 in 0.281 seconds.