The generator matrix

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

generates a code of length 35 over Z3[X]/(X^2) who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+126x^58+350x^60+708x^61+660x^63+1476x^64+864x^66+2538x^67+1584x^69+3120x^70+1584x^72+2736x^73+918x^75+1926x^76+462x^78+438x^79+98x^81+54x^82+34x^87+6x^90

The gray image is a linear code over GF(3) with n=105, k=9 and d=58.
This code was found by Heurico 1.16 in 74.9 seconds.