The generator matrix

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

generates a code of length 86 over Z3[X]/(X^2) who´s minimum homogenous weight is 153.

Homogenous weight enumerator: w(x)=1x^0+150x^153+102x^154+258x^155+526x^156+318x^157+870x^158+836x^159+810x^160+1722x^161+1394x^162+1158x^163+2508x^164+1944x^165+1368x^166+2946x^167+2620x^168+1560x^169+3726x^170+2830x^171+2028x^172+4146x^173+2700x^174+1956x^175+3852x^176+2652x^177+1728x^178+3096x^179+1998x^180+1080x^181+1800x^182+1008x^183+612x^184+966x^185+578x^186+324x^187+258x^188+204x^189+60x^190+90x^191+98x^192+12x^193+6x^194+48x^195+6x^196+32x^198+38x^201+16x^204+6x^207+4x^210

The gray image is a linear code over GF(3) with n=258, k=10 and d=153.
This code was found by Heurico 1.16 in 70.6 seconds.