The generator matrix

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

generates a code of length 83 over Z3[X]/(X^3) who´s minimum homogenous weight is 157.

Homogenous weight enumerator: w(x)=1x^0+138x^157+348x^158+606x^159+930x^160+1104x^161+1510x^162+936x^163+1458x^164+1748x^165+1272x^166+2046x^167+2296x^168+1194x^169+1452x^170+1208x^171+714x^172+258x^173+136x^174+96x^175+90x^176+10x^177+36x^178+36x^179+8x^180+24x^181+12x^182+2x^183+6x^184+4x^186+2x^192+2x^210

The gray image is a linear code over GF(3) with n=747, k=9 and d=471.
This code was found by Heurico 1.16 in 2.07 seconds.