The generator matrix

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

generates a code of length 35 over Z3[X]/(X^2) who´s minimum homogenous weight is 61.

Homogenous weight enumerator: w(x)=1x^0+120x^61+282x^62+108x^63+420x^64+444x^65+186x^66+594x^67+654x^68+136x^69+654x^70+576x^71+96x^72+606x^73+576x^74+108x^75+396x^76+318x^77+58x^78+108x^79+60x^80+14x^81+18x^82+6x^83+12x^84+4x^87+6x^90

The gray image is a linear code over GF(3) with n=105, k=8 and d=61.
This code was found by Heurico 1.16 in 35 seconds.