The generator matrix

 1  0  0  0  0  1  1  1  1  0  X  1  1  X  1  1  1  1  1 2X  1  X  1  0  1  X  1  X 2X  1  0  1  1  1  1
 0  1  0  0  0  0 2X  1 2X+1  1  1  1  2  1  0 2X  1 X+2 2X  1 2X+1  1 2X+2  1 X+1  1 X+1  X  X 2X+1  1 2X+2 2X+2 2X  X
 0  0  1  0  0  0 2X+1  1 2X+2  X 2X+1 X+2  1 2X+2 2X+2 2X+2  X  X  X  X X+2 2X+1  0  X  2 2X+2 X+1  1  X X+1 2X+2  X  X X+2 2X
 0  0  0  1  0  1 2X+2  X X+2 2X+2 2X+1 X+1 2X+1 2X+1  1  2  2  X 2X+2  2  1 2X+2 X+1  0  2  2  X  1  1 X+1  X 2X+1 X+2 X+2 2X
 0  0  0  0  1  2 2X+2 2X+2  X  2 2X+2 2X  1  X 2X  1 2X+1 2X+1 X+2  X  2 2X+1  2 X+1 2X+2  1  1  1 X+2 2X+2 X+2 X+1  X 2X+2 2X
 0  0  0  0  0 2X  X  0  X  X 2X 2X  X  0  X  0  0 2X  0 2X  0  0  X 2X  X  X  X  X  0 2X  0  0 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+50x^54+108x^55+264x^56+766x^57+876x^58+1242x^59+2644x^60+2460x^61+3300x^62+6342x^63+5622x^64+6822x^65+11142x^66+9948x^67+11436x^68+16878x^69+12858x^70+13092x^71+17066x^72+11376x^73+10440x^74+11362x^75+6810x^76+4542x^77+4548x^78+2124x^79+1158x^80+1184x^81+282x^82+186x^83+162x^84+24x^85+6x^86+14x^87+8x^90+4x^93

The gray image is a linear code over GF(3) with n=105, k=11 and d=54.
This code was found by Heurico 1.16 in 206 seconds.