The generator matrix

 1  0  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  0  1  1  X  1  1  X  1  1 2X
 0  1  1  2 3X+4  3  0 3X+1  X  2 3X+4 3X+1 X+2 X+2 3X+2  X 3X 4X+1  1  3  1 4X+4 X+3  1 4X+4 X+3  1 X+4 3X+3  1
 0  0 3X 2X  X  0 4X 2X  X 3X 4X  0 4X  X  0 3X 2X  X 4X 2X 3X 2X 3X 2X 3X 4X  X  0  X  0

generates a code of length 30 over Z5[X]/(X^2) who´s minimum homogenous weight is 115.

Homogenous weight enumerator: w(x)=1x^0+1200x^115+700x^120+1224x^125

The gray image is a linear code over GF(5) with n=150, k=5 and d=115.
This code was found by Heurico 1.16 in 0.0103 seconds.