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

generates a code of length 89 over Z3[X]/(X^2) who´s minimum homogenous weight is 153.

Homogenous weight enumerator: w(x)=1x^0+66x^153+266x^156+12x^157+414x^159+132x^160+596x^162+780x^163+974x^165+1380x^166+1250x^168+2958x^169+1832x^171+4338x^172+2042x^174+5688x^175+2740x^177+7320x^178+2672x^180+7008x^181+2330x^183+4992x^184+1642x^186+3102x^187+1194x^189+1152x^190+626x^192+402x^193+426x^195+96x^196+252x^198+6x^199+150x^201+88x^204+48x^207+34x^210+28x^213+8x^216+4x^219

The gray image is a linear code over GF(3) with n=267, k=10 and d=153.
This code was found by Heurico 1.16 in 85.1 seconds.