The generator matrix

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

generates a code of length 36 over Z3[X]/(X^2) who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+144x^54+280x^57+872x^60+2162x^63+6380x^66+11120x^69+15388x^72+13152x^75+6900x^78+1898x^81+416x^84+220x^87+88x^90+22x^93+4x^96+2x^99

The gray image is a linear code over GF(3) with n=108, k=10 and d=54.
This code was found by Heurico 1.16 in 23.4 seconds.