The generator matrix

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

generates a code of length 89 over Z3[X]/(X^2) who´s minimum homogenous weight is 164.

Homogenous weight enumerator: w(x)=1x^0+372x^164+326x^165+1074x^167+612x^168+1488x^170+816x^171+1794x^173+918x^174+1728x^176+922x^177+1812x^179+876x^180+1590x^182+686x^183+1296x^185+574x^186+1008x^188+422x^189+618x^191+234x^192+204x^194+124x^195+102x^197+36x^198+36x^200+14x^201

The gray image is a linear code over GF(3) with n=267, k=9 and d=164.
This code was found by Heurico 1.16 in 11.1 seconds.