The generator matrix

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

generates a code of length 88 over Z3[X]/(X^2) who´s minimum homogenous weight is 156.

Homogenous weight enumerator: w(x)=1x^0+52x^156+24x^157+6x^158+142x^159+72x^160+120x^161+378x^162+138x^163+282x^164+584x^165+240x^166+414x^167+1006x^168+450x^169+396x^170+1422x^171+612x^172+540x^173+1580x^174+654x^175+708x^176+1810x^177+792x^178+612x^179+1546x^180+666x^181+612x^182+1140x^183+414x^184+360x^185+658x^186+198x^187+222x^188+276x^189+96x^190+78x^191+96x^192+18x^193+24x^194+76x^195+48x^198+44x^201+28x^204+26x^207+12x^210+6x^213+2x^216+2x^219

The gray image is a linear code over GF(3) with n=264, k=9 and d=156.
This code was found by Heurico 1.16 in 10.3 seconds.