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

generates a code of length 48 over Z3[X]/(X^2) who´s minimum homogenous weight is 93.

Homogenous weight enumerator: w(x)=1x^0+134x^93+28x^96+16x^99+58x^102+2x^105+4x^117

The gray image is a linear code over GF(3) with n=144, k=5 and d=93.
This code was found by Heurico 1.16 in 3.43 seconds.