The generator matrix

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

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+596x^60+1076x^63+1374x^66+1438x^69+1172x^72+750x^75+142x^78+10x^81+2x^87

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 1.36 seconds.