The generator matrix

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

generates a code of length 16 over Z3[X]/(X^2) who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+10x^30+54x^32+12x^33+2x^36+2x^48

The gray image is a linear code over GF(3) with n=48, k=4 and d=30.
This code was found by Heurico 1.16 in 0.000408 seconds.