The generator matrix

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

generates a code of length 85 over Z3[X]/(X^3) who´s minimum homogenous weight is 159.

Homogenous weight enumerator: w(x)=1x^0+686x^159+1080x^160+2196x^161+3902x^162+5406x^163+6696x^164+9492x^165+9258x^166+12072x^167+13378x^168+13800x^169+15852x^170+16462x^171+14418x^172+13938x^173+12452x^174+8904x^175+6438x^176+5056x^177+2568x^178+1356x^179+758x^180+354x^181+186x^182+130x^183+48x^184+36x^185+110x^186+30x^187+18x^188+24x^189+18x^190+6x^191+6x^193+12x^194

The gray image is a linear code over GF(3) with n=765, k=11 and d=477.
This code was found by Heurico 1.16 in 91.7 seconds.