The generator matrix

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

generates a code of length 91 over Z3[X]/(X^2) who´s minimum homogenous weight is 168.

Homogenous weight enumerator: w(x)=1x^0+474x^168+1678x^171+2470x^174+2532x^177+2616x^180+2700x^183+2272x^186+1898x^189+1548x^192+828x^195+452x^198+140x^201+48x^204+24x^207+2x^213

The gray image is a linear code over GF(3) with n=273, k=9 and d=168.
This code was found by Heurico 1.16 in 11.5 seconds.