The generator matrix

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

generates a code of length 90 over Z3[X]/(X^2) who´s minimum homogenous weight is 166.

Homogenous weight enumerator: w(x)=1x^0+234x^166+384x^167+138x^168+750x^169+888x^170+262x^171+1020x^172+1002x^173+302x^174+1164x^175+1350x^176+328x^177+1164x^178+1230x^179+244x^180+1140x^181+1104x^182+318x^183+1110x^184+972x^185+196x^186+900x^187+702x^188+184x^189+636x^190+528x^191+96x^192+318x^193+396x^194+72x^195+204x^196+132x^197+16x^198+66x^199+48x^200+22x^201+36x^202+12x^203+2x^204+6x^205+4x^207+2x^213

The gray image is a linear code over GF(3) with n=270, k=9 and d=166.
This code was found by Heurico 1.16 in 13.5 seconds.