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

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+444x^137+316x^138+1188x^140+646x^141+1644x^143+974x^144+1812x^146+964x^147+1944x^149+1028x^150+1860x^152+914x^153+1710x^155+650x^156+1272x^158+602x^159+726x^161+298x^162+372x^164+82x^165+114x^167+64x^168+18x^170+18x^171+18x^173+4x^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 13.5 seconds.