The generator matrix

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

generates a code of length 35 over Z3[X]/(X^2) who´s minimum homogenous weight is 57.

Homogenous weight enumerator: w(x)=1x^0+152x^57+372x^58+288x^59+716x^60+1644x^61+912x^62+1922x^63+2904x^64+1782x^65+3104x^66+4518x^67+2874x^68+4270x^69+6174x^70+2958x^71+4722x^72+5904x^73+2910x^74+3180x^75+3522x^76+1158x^77+1358x^78+1038x^79+234x^80+218x^81+156x^82+6x^83+16x^84+12x^85+8x^87+4x^90+10x^93+2x^105

The gray image is a linear code over GF(3) with n=105, k=10 and d=57.
This code was found by Heurico 1.16 in 21.6 seconds.