The generator matrix
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 1 1 1 X X X X
0 X 0 0 0 0 X 2X 2X 0 0 X X X X X X X 0 2X 0 2X 0 2X X 0 2X X 2X X 2X 0 X 0 0
0 0 X 0 0 X 2X 0 2X 0 X X 2X 2X 0 X 0 X X X X 0 0 2X 0 2X X 2X 2X 0 X 0 X X 0
0 0 0 X 0 2X 2X X 0 X X 0 0 X 2X X X 2X 2X 0 0 2X 2X 2X X 2X 0 X 0 2X 2X X 2X 0 2X
0 0 0 0 X 2X 2X 2X 2X 2X 0 2X 0 0 2X 2X 0 X 0 0 2X 2X X 2X X X X 2X X X 2X X X X 2X
generates a code of length 35 over Z3[X]/(X^2) who´s minimum homogenous weight is 63.
Homogenous weight enumerator: w(x)=1x^0+86x^63+106x^66+220x^69+208x^72+64x^75+10x^78+12x^81+10x^84+4x^87+8x^90
The gray image is a linear code over GF(3) with n=105, k=6 and d=63.
This code was found by Heurico 1.16 in 0.0115 seconds.