The generator matrix

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

generates a code of length 82 over Z3[X]/(X^3) who´s minimum homogenous weight is 153.

Homogenous weight enumerator: w(x)=1x^0+262x^153+282x^154+720x^155+1310x^156+1212x^157+2382x^158+3004x^159+2442x^160+5190x^161+4784x^162+3930x^163+6192x^164+5880x^165+3900x^166+6144x^167+4086x^168+2076x^169+2298x^170+1172x^171+534x^172+300x^173+398x^174+138x^175+42x^176+132x^177+36x^178+54x^179+70x^180+24x^181+6x^182+24x^183+6x^184+14x^186+2x^189+2x^192

The gray image is a linear code over GF(3) with n=738, k=10 and d=459.
This code was found by Heurico 1.16 in 12.8 seconds.