The generator matrix

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

generates a code of length 29 over Z3[X]/(X^2) who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+246x^54+162x^57+180x^60+112x^63+18x^66+10x^72

The gray image is a linear code over GF(3) with n=87, k=6 and d=54.
This code was found by Heurico 1.16 in 0.0091 seconds.