The generator matrix

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

generates a code of length 87 over Z3[X]/(X^2) who´s minimum homogenous weight is 156.

Homogenous weight enumerator: w(x)=1x^0+162x^156+180x^157+270x^158+994x^159+534x^160+666x^161+1938x^162+846x^163+942x^164+2620x^165+1326x^166+1344x^167+3916x^168+1434x^169+1638x^170+4386x^171+1914x^172+1734x^173+4552x^174+1740x^175+2040x^176+4608x^177+1890x^178+1860x^179+3952x^180+1428x^181+1392x^182+2960x^183+948x^184+780x^185+1662x^186+564x^187+312x^188+740x^189+240x^190+90x^191+218x^192+72x^193+48x^194+48x^195+6x^196+6x^197+20x^198+14x^201+4x^204+4x^207+4x^210+2x^216

The gray image is a linear code over GF(3) with n=261, k=10 and d=156.
This code was found by Heurico 1.16 in 72 seconds.