The generator matrix

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

generates a code of length 35 over Z3[X]/(X^2) who´s minimum homogenous weight is 51.

Homogenous weight enumerator: w(x)=1x^0+80x^51+12x^52+214x^54+84x^55+370x^57+378x^58+724x^60+1494x^61+1504x^63+4122x^64+2928x^66+7830x^67+4492x^69+10476x^70+4496x^72+8946x^73+2862x^75+4590x^76+1200x^78+1302x^79+408x^81+132x^82+250x^84+88x^87+46x^90+14x^93+4x^96+2x^102

The gray image is a linear code over GF(3) with n=105, k=10 and d=51.
This code was found by Heurico 1.16 in 21.6 seconds.