The generator matrix

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

generates a code of length 85 over Z3[X]/(X^3) who´s minimum homogenous weight is 156.

Homogenous weight enumerator: w(x)=1x^0+76x^156+204x^158+142x^159+342x^160+750x^161+1174x^162+1872x^163+1302x^164+2664x^165+3978x^166+2580x^167+4318x^168+7776x^169+3204x^170+6092x^171+7686x^172+2910x^173+3682x^174+3960x^175+1434x^176+1198x^177+630x^178+528x^179+166x^180+162x^182+70x^183+48x^185+18x^186+22x^189+20x^192+16x^195+4x^198+4x^201+10x^204+2x^207+4x^213

The gray image is a linear code over GF(3) with n=765, k=10 and d=468.
This code was found by Heurico 1.16 in 13.7 seconds.