The generator matrix

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

generates a code of length 35 over Z3[X]/(X^3) who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+66x^60+72x^61+318x^62+476x^63+882x^64+1908x^65+2338x^66+4158x^67+5946x^68+7142x^69+9570x^70+8616x^71+7196x^72+5442x^73+3396x^74+714x^75+180x^76+174x^77+224x^78+96x^79+48x^80+58x^81+12x^82+6x^83+6x^84+2x^87+2x^93

The gray image is a linear code over GF(3) with n=315, k=10 and d=180.
This code was found by Heurico 1.16 in 4.47 seconds.