The generator matrix

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

generates a code of length 75 over Z3[X]/(X^2) who´s minimum homogenous weight is 134.

Homogenous weight enumerator: w(x)=1x^0+396x^134+388x^135+1890x^137+1046x^138+2754x^140+1674x^141+4248x^143+2352x^144+5184x^146+2716x^147+5946x^149+2982x^150+6096x^152+3066x^153+5304x^155+2572x^156+3906x^158+1746x^159+2346x^161+684x^162+1014x^164+350x^165+246x^167+78x^168+36x^170+14x^171+12x^174+2x^180

The gray image is a linear code over GF(3) with n=225, k=10 and d=134.
This code was found by Heurico 1.16 in 60.7 seconds.