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
 0  X  0  0  0  X  0  X  X  X 2X 3X  0 2X 4X 3X  0  X 4X 4X 2X  0  X  X 2X 2X  X 2X 2X  0
 0  0  X  0  0 3X 2X 4X 3X 4X  0  X 3X 4X 4X  0 2X 2X 4X 4X  X 2X 4X 4X  0  0  X 2X 4X  0
 0  0  0  X  0 3X 4X 4X 4X 2X 4X  0 2X  X 3X 4X  0  0  X 4X 4X  X 4X  0 2X  X  0 2X 4X  0
 0  0  0  0  X 3X 3X 2X  X  0  X 4X 4X  X 4X  X 2X  0 3X 4X  0 3X  0  X  0 3X  X 4X 2X 3X

generates a code of length 30 over Z5[X]/(X^2) who´s minimum homogenous weight is 100.

Homogenous weight enumerator: w(x)=1x^0+96x^100+388x^105+408x^110+424x^115+12960x^120+480x^125+432x^130+312x^135+96x^140+20x^145+8x^150

The gray image is a linear code over GF(5) with n=150, k=6 and d=100.
This code was found by Heurico 1.16 in 0.404 seconds.