The generator matrix

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

generates a code of length 89 over Z3[X]/(X^2) who´s minimum homogenous weight is 156.

Homogenous weight enumerator: w(x)=1x^0+4x^156+60x^157+252x^158+496x^159+690x^160+1074x^161+1558x^162+1476x^163+2472x^164+2604x^165+2712x^166+3978x^167+4126x^168+4152x^169+5652x^170+6062x^171+5478x^172+7794x^173+6998x^174+7188x^175+8910x^176+8166x^177+8052x^178+10092x^179+8792x^180+7284x^181+9216x^182+7948x^183+6582x^184+7596x^185+5772x^186+4662x^187+4614x^188+3640x^189+2442x^190+2556x^191+1878x^192+1212x^193+960x^194+718x^195+372x^196+330x^197+180x^198+114x^199+102x^200+76x^201+12x^202+12x^203+16x^204+2x^207+4x^210+4x^216+2x^222+2x^225

The gray image is a linear code over GF(3) with n=267, k=11 and d=156.
This code was found by Heurico 1.16 in 755 seconds.