The generator matrix

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

generates a code of length 34 over Z3[X]/(X^2) who´s minimum homogenous weight is 62.

Homogenous weight enumerator: w(x)=1x^0+246x^62+220x^63+402x^65+132x^66+294x^68+180x^69+228x^71+84x^72+210x^74+84x^75+66x^77+18x^78+12x^80+8x^81+2x^90

The gray image is a linear code over GF(3) with n=102, k=7 and d=62.
This code was found by Heurico 1.13 in 0.0227 seconds.