The generator matrix

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

generates a code of length 74 over Z3[X]/(X^2) who´s minimum homogenous weight is 148.

Homogenous weight enumerator: w(x)=1x^0+24x^148+36x^149+12x^151+4x^156+4x^159

The gray image is a linear code over GF(3) with n=222, k=4 and d=148.
This code was found by Heurico 1.16 in 0.059 seconds.