The generator matrix

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

generates a code of length 23 over Z3[X]/(X^2) who´s minimum homogenous weight is 33.

Homogenous weight enumerator: w(x)=1x^0+88x^33+54x^35+178x^36+180x^37+360x^38+244x^39+720x^40+1116x^41+282x^42+1800x^43+2196x^44+342x^45+3060x^46+2718x^47+342x^48+2196x^49+1800x^50+288x^51+792x^52+504x^53+260x^54+114x^57+44x^60+2x^63+2x^66

The gray image is a linear code over GF(3) with n=69, k=9 and d=33.
This code was found by Heurico 1.16 in 1.25 seconds.