The generator matrix

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

generates a code of length 75 over Z3[X]/(X^2) who´s minimum homogenous weight is 148.

Homogenous weight enumerator: w(x)=1x^0+90x^148+48x^150+54x^151+24x^153+18x^157+6x^159+2x^162

The gray image is a linear code over GF(3) with n=225, k=5 and d=148.
This code was found by Heurico 1.16 in 0.243 seconds.