The generator matrix

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

generates a code of length 22 over Z3[X]/(X^2) who´s minimum homogenous weight is 43.

Homogenous weight enumerator: w(x)=1x^0+24x^43+36x^44+12x^46+4x^48+4x^51

The gray image is a linear code over GF(3) with n=66, k=4 and d=43.
This code was found by Heurico 1.16 in 0.00102 seconds.