The generator matrix

 1  0  0  1  1  1  1  1  0  1  1  1 2X  1  1  1  1  1  0  1  1  1  1
 0  1  0  1  0  2  1  2  1  0 2X+1 2X+2  1 2X  2  1  0 X+1  0 X+2  X X+1  0
 0  0  1  2  1  2  1  0  2  2 2X 2X+1 2X+1 2X+1  X  1  2  2  1  1 2X+2 X+2  0
 0  0  0 2X  0  0  0  0  0  0 2X  X  X  X 2X 2X 2X  X  X  X 2X  X  0
 0  0  0  0 2X  0  0  0  X  X 2X 2X  X 2X 2X  0  X 2X  X 2X 2X  0  X
 0  0  0  0  0  X  0  X  X  0  X 2X 2X 2X  0  0 2X  X  0  X  0  X 2X
 0  0  0  0  0  0  X 2X  X  X 2X  0  X 2X  X 2X  0  0  X  X  0 2X  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+132x^33+54x^34+108x^35+650x^36+300x^37+486x^38+2092x^39+1134x^40+1620x^41+5234x^42+2844x^43+3510x^44+9466x^45+4062x^46+3888x^47+9082x^48+3348x^49+2754x^50+4906x^51+1260x^52+756x^53+1080x^54+120x^55+112x^57+40x^60+8x^63+2x^69

The gray image is a linear code over GF(3) with n=69, k=10 and d=33.
This code was found by Heurico 1.16 in 9.8 seconds.