The generator matrix

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

generates a code of length 35 over Z3[X]/(X^2) who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+68x^54+12x^56+114x^57+114x^58+96x^59+188x^60+384x^61+408x^62+274x^63+978x^64+1272x^65+232x^66+1626x^67+2004x^68+248x^69+2220x^70+2388x^71+264x^72+2058x^73+1902x^74+258x^75+1014x^76+600x^77+240x^78+312x^79+66x^80+168x^81+42x^82+96x^84+22x^87+8x^90+2x^93+4x^96

The gray image is a linear code over GF(3) with n=105, k=9 and d=54.
This code was found by Heurico 1.16 in 2.82 seconds.