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

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+154x^162+582x^163+570x^165+1266x^166+740x^168+1698x^169+926x^171+1830x^172+842x^174+1758x^175+918x^177+1770x^178+764x^180+1410x^181+670x^183+1194x^184+500x^186+864x^187+246x^189+480x^190+148x^192+210x^193+72x^195+42x^196+6x^198+18x^199+2x^201+2x^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 8.81 seconds.