The generator matrix

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

generates a code of length 84 over Z3[X]/(X^3) who´s minimum homogenous weight is 153.

Homogenous weight enumerator: w(x)=1x^0+52x^153+24x^154+48x^155+244x^156+282x^157+186x^158+850x^159+1590x^160+558x^161+1954x^162+3972x^163+786x^164+4274x^165+7680x^166+1476x^167+5940x^168+9936x^169+1434x^170+5078x^171+6504x^172+978x^173+2050x^174+1860x^175+282x^176+388x^177+192x^178+60x^179+160x^180+30x^181+24x^182+52x^183+6x^184+36x^186+14x^189+14x^192+16x^195+2x^198+6x^201+6x^204+2x^207+2x^210

The gray image is a linear code over GF(3) with n=756, k=10 and d=459.
This code was found by Heurico 1.16 in 13.4 seconds.