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

generates a code of length 35 over Z3[X]/(X^2) who´s minimum homogenous weight is 62.

Homogenous weight enumerator: w(x)=1x^0+402x^62+258x^63+810x^65+476x^66+810x^68+486x^69+972x^71+432x^72+762x^74+332x^75+450x^77+162x^78+156x^80+38x^81+12x^83+2x^84

The gray image is a linear code over GF(3) with n=105, k=8 and d=62.
This code was found by Heurico 1.16 in 1.14 seconds.