The generator matrix

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

generates a code of length 75 over Z3[X]/(X^3) who´s minimum homogenous weight is 140.

Homogenous weight enumerator: w(x)=1x^0+366x^140+300x^141+18x^142+762x^143+614x^144+234x^145+1320x^146+1496x^147+864x^148+2478x^149+3162x^150+1386x^151+2466x^152+1786x^153+414x^154+540x^155+344x^156+312x^158+168x^159+264x^161+90x^162+138x^164+32x^165+84x^167+24x^168+18x^170+2x^198

The gray image is a linear code over GF(3) with n=675, k=9 and d=420.
This code was found by Heurico 1.16 in 13.6 seconds.