The generator matrix

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

generates a code of length 34 over Z3[X]/(X^2) who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+850x^54+4134x^57+11190x^60+23872x^63+37530x^66+44886x^69+33946x^72+16110x^75+4134x^78+472x^81+6x^84+14x^90+2x^99

The gray image is a linear code over GF(3) with n=102, k=11 and d=54.
This code was found by Heurico 1.16 in 205 seconds.