The generator matrix
1 0 1 1 1 1 1 0 1 1 1 X 1 1 1 X 1 1 1 1 1 1 0 X 1 1 1 1 1 1 1 1 1
0 1 1 2 2X+1 0 2 1 X 2X+1 X+2 1 X X+1 X+2 1 X+1 0 X 1 2 X+2 1 1 2X 2X 2X 2X+1 X+1 1 2X+2 2X+2 0
0 0 2X 0 X X 2X 2X 2X 0 X X X 2X 2X 2X X 2X 0 0 X 0 X 0 0 X 2X 2X 0 X 0 X 0
generates a code of length 33 over Z3[X]/(X^2) who´s minimum homogenous weight is 63.
Homogenous weight enumerator: w(x)=1x^0+16x^63+18x^64+36x^65+100x^66+36x^67+18x^68+6x^69+8x^72+2x^75+2x^81
The gray image is a linear code over GF(3) with n=99, k=5 and d=63.
This code was found by Heurico 1.16 in 0.00335 seconds.