The generator matrix

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

generates a code of length 74 over Z3[X]/(X^3) who´s minimum homogenous weight is 135.

Homogenous weight enumerator: w(x)=1x^0+130x^135+66x^136+380x^138+180x^139+84x^140+456x^141+366x^142+138x^143+1042x^144+1146x^145+1902x^146+2440x^147+2178x^148+3318x^149+2408x^150+1494x^151+294x^152+410x^153+168x^154+96x^155+338x^156+120x^157+212x^159+84x^160+122x^162+24x^163+24x^165+6x^166+14x^168+12x^171+20x^174+6x^177+2x^180+2x^201

The gray image is a linear code over GF(3) with n=666, k=9 and d=405.
This code was found by Heurico 1.16 in 2.79 seconds.