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

generates a code of length 45 over Z3[X]/(X^2) who´s minimum homogenous weight is 75.

Homogenous weight enumerator: w(x)=1x^0+118x^75+196x^78+18x^80+242x^81+180x^83+248x^84+720x^86+244x^87+1440x^89+198x^90+1440x^92+206x^93+576x^95+204x^96+180x^99+158x^102+110x^105+54x^108+22x^111+2x^114+4x^120

The gray image is a linear code over GF(3) with n=135, k=8 and d=75.
This code was found by Heurico 1.16 in 5.17 seconds.