The generator matrix

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

generates a code of length 75 over Z3[X]/(X^2) who´s minimum homogenous weight is 137.

Homogenous weight enumerator: w(x)=1x^0+42x^137+184x^138+66x^139+138x^140+412x^141+144x^142+156x^143+468x^144+204x^145+228x^146+510x^147+264x^148+234x^149+538x^150+270x^151+180x^152+580x^153+258x^154+180x^155+490x^156+156x^157+168x^158+288x^159+72x^160+96x^161+70x^162+24x^163+36x^164+22x^165+20x^168+20x^171+14x^174+14x^177+4x^180+4x^183+6x^186

The gray image is a linear code over GF(3) with n=225, k=8 and d=137.
This code was found by Heurico 1.16 in 1 seconds.