The generator matrix

 1  0  0  0  1  1  1  1  1  0  1  X  1  1 2X  1 2X  0  1  1  0 2X  1  1  1  1  0  1  1  1  1  1  1 2X  1 2X  1  1 2X  0  1  1  1  0  1  1  1  1  1  X  1  1  1  1  X  1  1  1  1  1  1  0 2X  0 2X  1  1  1  1  1  1  1  1  X  1
 0  1  0  0  0  0 2X 2X  0 2X 2X 2X  1 X+1  1 2X+1  1  1 2X+1 2X+1  1  1  1 2X+2  2 2X  1 2X+2  2  0 2X X+1 2X+1  1 X+2 2X  1  2  1  1 2X X+1 2X+1  0 2X X+1  X  0 2X  1 X+2 2X+2 X+1 X+2  1 2X+2 2X+2  X 2X+2 2X+1  2 2X  0  1  0 2X+1 X+2  0 X+1 X+2  2  2  1  1 X+1
 0  0  1  0  0  X 2X+1  2 2X+1  1 X+2  1  1  1  X 2X+2 2X+1 2X+2  0 2X  1  X  2  1  X 2X+2 X+1  X X+2 X+1  1 2X 2X+1  2 2X  0  1  2 2X+1  2 2X  1 2X+2  1 2X+2  0  0 2X  0  2  0  1  2 2X  2  2 X+1 2X+2 2X+1 X+1  X  1  X  1  1  0 X+1  0 2X+1 X+2 X+2  X 2X+2  2  1
 0  0  0  1  1 2X+2 2X  0 X+1  1 2X+2 X+2 X+2 2X X+2  X  2  X X+2 2X X+1 2X+1 X+1 2X+2 2X  1 2X X+2  2 X+1  2 X+1 2X+2 2X+2  1  1  1  X  0 X+1  0  0  X X+1 2X 2X+2 X+1  1 X+2  0 X+1 2X+2 2X+2  2 X+2 X+1  0 X+1 X+1 X+2  2  0  1  2 X+2  1  1  2  1  2 2X+2 2X+1  0 2X  0
 0  0  0  0 2X 2X 2X 2X 2X  0 2X  0 2X 2X  0 2X  0  0 2X 2X  X  X  X  0  X  0 2X  X  0  0  0  0  X  X  X 2X  X  0  X 2X  X  0  X 2X  X  0  X  0  0  X  0 2X  X  0 2X 2X  X 2X  X  0 2X 2X  X 2X  X 2X  0  0  0 2X  X 2X  X  X  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+426x^137+344x^138+1164x^140+690x^141+1650x^143+868x^144+1866x^146+948x^147+2004x^149+1024x^150+1884x^152+972x^153+1590x^155+686x^156+1254x^158+508x^159+750x^161+326x^162+348x^164+162x^165+132x^167+28x^168+54x^170+2x^171+2x^174

The gray image is a linear code over GF(3) with n=225, k=9 and d=137.
This code was found by Heurico 1.16 in 35.3 seconds.