The generator matrix
1 0 1 1 1 1 1 0 1 1 1 0 1 1 1 0 1 1 1 1 1 0 1 X 1 1 1 1 1 1 1 X 1
0 1 1 2 0 1 2 1 0 2X+1 2 1 2X+1 0 2 1 X+1 X X+2 0 2 1 2X+1 1 0 2 2X+2 1 2X+1 2X+1 2X 0 0
0 0 2X 0 0 0 0 0 0 0 0 0 0 X X 2X X X 2X X 2X 2X 2X 2X 2X X 0 2X 0 X X X 0
0 0 0 X 0 0 0 0 X 2X X 2X X 2X 2X 0 0 0 2X 0 2X 2X 2X 2X X 2X X 2X X X X X 0
0 0 0 0 X 0 0 X 2X 2X X X 0 2X 2X 2X X 2X 2X 2X X X 2X 0 X X 2X 2X X 2X 0 X 0
0 0 0 0 0 2X 0 2X X 0 X X 2X 2X X 2X 0 0 0 X 2X X 0 X X X X 2X 0 0 0 X X
0 0 0 0 0 0 X 2X 0 2X 2X X X 2X 2X X 0 2X X X X 0 0 0 0 X X X X 2X 2X 0 2X
generates a code of length 33 over Z3[X]/(X^2) who´s minimum homogenous weight is 51.
Homogenous weight enumerator: w(x)=1x^0+70x^51+18x^52+210x^54+192x^55+350x^57+702x^58+660x^60+1692x^61+1294x^63+3108x^64+1320x^66+3636x^67+1302x^69+2610x^70+834x^72+1020x^73+306x^75+144x^76+122x^78+62x^81+22x^84+6x^87+2x^90
The gray image is a linear code over GF(3) with n=99, k=9 and d=51.
This code was found by Heurico 1.16 in 2.62 seconds.