The generator matrix

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

generates a code of length 31 over Z3[X]/(X^2) who´s minimum homogenous weight is 61.

Homogenous weight enumerator: w(x)=1x^0+24x^61+36x^62+12x^64+2x^66+4x^69+2x^75

The gray image is a linear code over GF(3) with n=93, k=4 and d=61.
This code was found by Heurico 1.16 in 0.00263 seconds.