The generator matrix

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

generates a code of length 74 over Z3[X]/(X^2) who´s minimum homogenous weight is 134.

Homogenous weight enumerator: w(x)=1x^0+276x^134+260x^135+828x^137+654x^138+1284x^140+744x^141+1860x^143+922x^144+1968x^146+940x^147+2196x^149+840x^150+1794x^152+926x^153+1434x^155+660x^156+870x^158+360x^159+498x^161+120x^162+90x^164+96x^165+24x^167+8x^171+20x^174+4x^180+6x^183

The gray image is a linear code over GF(3) with n=222, k=9 and d=134.
This code was found by Heurico 1.16 in 89.3 seconds.