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

generates a code of length 46 over Z3[X]/(X^2) who´s minimum homogenous weight is 75.

Homogenous weight enumerator: w(x)=1x^0+50x^75+118x^78+238x^81+18x^82+246x^84+180x^85+218x^87+720x^88+228x^90+1440x^91+208x^93+1440x^94+206x^96+576x^97+226x^99+158x^102+138x^105+86x^108+40x^111+20x^114+4x^117+2x^123

The gray image is a linear code over GF(3) with n=138, k=8 and d=75.
This code was found by Heurico 1.16 in 0.792 seconds.