The generator matrix

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

generates a code of length 75 over Z3[X]/(X^2) who´s minimum homogenous weight is 143.

Homogenous weight enumerator: w(x)=1x^0+246x^143+178x^144+432x^146+182x^147+246x^149+132x^150+186x^152+90x^153+114x^155+56x^156+78x^158+38x^159+72x^161+24x^162+48x^164+14x^165+18x^167+8x^168+18x^170+2x^171+2x^177+2x^189

The gray image is a linear code over GF(3) with n=225, k=7 and d=143.
This code was found by Heurico 1.16 in 0.233 seconds.