The generator matrix

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

generates a code of length 35 over Z3[X]/(X^3) who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+138x^64+90x^65+474x^66+684x^67+72x^68+1434x^69+1074x^70+78x^71+1518x^72+762x^73+36x^74+46x^75+90x^76+36x^77+4x^78+6x^79+12x^80+2x^84+2x^87+2x^90

The gray image is a linear code over GF(3) with n=315, k=8 and d=192.
This code was found by Heurico 1.16 in 0.0719 seconds.