The generator matrix

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

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+124x^33+276x^34+510x^35+1256x^36+1956x^37+2286x^38+4052x^39+5742x^40+6276x^41+9364x^42+13500x^43+12960x^44+16672x^45+20346x^46+17094x^47+16360x^48+16644x^49+10086x^50+8800x^51+6150x^52+3000x^53+2238x^54+972x^55+276x^56+160x^57+24x^58+18x^60+2x^63+2x^66

The gray image is a linear code over GF(3) with n=69, k=11 and d=33.
This code was found by Heurico 1.16 in 110 seconds.