The generator matrix

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

generates a code of length 87 over Z3[X]/(X^2) who´s minimum homogenous weight is 154.

Homogenous weight enumerator: w(x)=1x^0+330x^154+402x^155+484x^156+1158x^157+1386x^158+1456x^159+2556x^160+2832x^161+2258x^162+3876x^163+4464x^164+3564x^165+5730x^166+6636x^167+5160x^168+7428x^169+8334x^170+6234x^171+9228x^172+9516x^173+6882x^174+9960x^175+10158x^176+6582x^177+9066x^178+8766x^179+5688x^180+7134x^181+6372x^182+4086x^183+5046x^184+4050x^185+2032x^186+2496x^187+1896x^188+1078x^189+1194x^190+576x^191+290x^192+348x^193+180x^194+78x^195+54x^196+42x^197+30x^198+10x^201+6x^202+6x^204+4x^213+2x^216+2x^219

The gray image is a linear code over GF(3) with n=261, k=11 and d=154.
This code was found by Heurico 1.16 in 724 seconds.