The generator matrix

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

generates a code of length 88 over Z3[X]/(X^2) who´s minimum homogenous weight is 162.

Homogenous weight enumerator: w(x)=1x^0+200x^162+534x^163+526x^165+1338x^166+710x^168+1740x^169+960x^171+1680x^172+868x^174+1764x^175+896x^177+1830x^178+774x^180+1512x^181+604x^183+1128x^184+528x^186+840x^187+282x^189+516x^190+108x^192+180x^193+76x^195+54x^196+24x^198+6x^199+4x^204

The gray image is a linear code over GF(3) with n=264, k=9 and d=162.
This code was found by Heurico 1.16 in 11.2 seconds.