The generator matrix

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

generates a code of length 89 over Z3[X]/(X^2) who´s minimum homogenous weight is 159.

Homogenous weight enumerator: w(x)=1x^0+116x^159+24x^161+252x^162+54x^163+108x^164+486x^165+210x^166+300x^167+786x^168+324x^169+336x^170+1192x^171+510x^172+546x^173+1404x^174+738x^175+678x^176+1506x^177+642x^178+666x^179+1530x^180+744x^181+744x^182+1476x^183+630x^184+606x^185+1068x^186+318x^187+264x^188+508x^189+150x^190+60x^191+240x^192+42x^193+36x^194+140x^195+12x^196+6x^197+76x^198+48x^201+50x^204+26x^207+14x^210+6x^213+6x^216+2x^219+2x^228

The gray image is a linear code over GF(3) with n=267, k=9 and d=159.
This code was found by Heurico 1.16 in 10.4 seconds.