The generator matrix

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

generates a code of length 85 over Z3[X]/(X^2) who´s minimum homogenous weight is 156.

Homogenous weight enumerator: w(x)=1x^0+134x^156+336x^157+270x^158+612x^159+846x^160+498x^161+722x^162+1074x^163+594x^164+918x^165+1374x^166+618x^167+772x^168+1308x^169+570x^170+862x^171+972x^172+618x^173+952x^174+960x^175+456x^176+688x^177+870x^178+330x^179+414x^180+456x^181+264x^182+298x^183+372x^184+132x^185+140x^186+126x^187+24x^188+44x^189+54x^190+2x^192+2x^204

The gray image is a linear code over GF(3) with n=255, k=9 and d=156.
This code was found by Heurico 1.16 in 10.1 seconds.