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.