The generator matrix

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

generates a code of length 35 over Z3[X]/(X^3) who´s minimum homogenous weight is 63.

Homogenous weight enumerator: w(x)=1x^0+734x^63+546x^64+2118x^65+4618x^66+2628x^67+6102x^68+8980x^69+4674x^70+10038x^71+9532x^72+2964x^73+3066x^74+2490x^75+342x^76+36x^77+108x^78+24x^79+24x^80+20x^81+2x^84+2x^87

The gray image is a linear code over GF(3) with n=315, k=10 and d=189.
This code was found by Heurico 1.16 in 3.75 seconds.