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  0 2X  1  1  1  1 2X  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  1 X+2 X+1  0  1  0 X+2 2X  0 2X+1  1 2X
 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 2X+2 2X+1  0 2X  2  1  1 2X+1  1
 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 X+2 2X+1  1  1  0  0 2X+1  0 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+396x^62+312x^63+774x^65+432x^66+882x^68+462x^69+912x^71+408x^72+798x^74+342x^75+486x^77+204x^78+114x^80+26x^81+12x^83

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 2.53 seconds.