The generator matrix

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

generates a code of length 82 over Z3[X]/(X^3) who´s minimum homogenous weight is 157.

Homogenous weight enumerator: w(x)=1x^0+378x^157+504x^158+1956x^159+1614x^160+1704x^161+2242x^162+1782x^163+1284x^164+1706x^165+1146x^166+1008x^167+1340x^168+942x^169+366x^170+676x^171+384x^172+306x^173+256x^174+66x^175+6x^176+2x^177+6x^178+6x^179+2x^186

The gray image is a linear code over GF(3) with n=738, k=9 and d=471.
This code was found by Heurico 1.16 in 1.19 seconds.