The generator matrix

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

generates a code of length 23 over Z3[X]/(X^2) who´s minimum homogenous weight is 39.

Homogenous weight enumerator: w(x)=1x^0+202x^39+356x^42+642x^45+582x^48+334x^51+46x^54+8x^57+12x^60+4x^63

The gray image is a linear code over GF(3) with n=69, k=7 and d=39.
This code was found by Heurico 1.16 in 0.0328 seconds.