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  X  X  1  X  1  X  1  1  X  X  X  X  X  X  X  X  X  1  X  X  X  X  X  X  X  X  X  X  X  X
 0  X  0  0  X  0  X  X 2X  0  0  X  X  0 2X  X 2X 2X  0  X 2X  0  X 2X 2X 2X 2X  0  0  0  X  X  0  X  X 2X  0  0  X  X  0 2X  X 2X 2X  X  0  0  X 2X  0 2X  X  0 2X  X  X  X  X  0  0  X  0 2X 2X 2X  X  0  0 2X 2X  X 2X 2X 2X
 0  0  X  0 2X  X 2X  X 2X  0  X  X  0 2X  0  0  X  X 2X 2X 2X 2X  X  0  0  X 2X  0  0  X 2X  X  X 2X  0 2X  0  X  X  0 2X  0  0  X  X  X  0 2X 2X  0 2X 2X 2X  X  0 2X  0  X  0  X 2X 2X 2X 2X 2X  0  0  X  0  X  X  X  X 2X  0
 0  0  0  X 2X 2X  0 2X 2X 2X  X  0 2X  0 2X  X  X  0  X  X  X 2X  X  0  X 2X  0  0  X 2X 2X 2X  X  X  X 2X 2X  0  0  0  X  X 2X 2X  X  X  X  0  X 2X 2X  X  0 2X 2X  0  0  0 2X  0  X 2X 2X  0  X  0  X  X 2X  X 2X 2X  0 2X  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+102x^148+48x^150+54x^151+24x^153+6x^159+2x^162+6x^175

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 14.2 seconds.