The generator matrix

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

generates a code of length 30 over Z5[X]/(X^2) who´s minimum homogenous weight is 108.

Homogenous weight enumerator: w(x)=1x^0+400x^108+368x^110+1480x^113+548x^115+4160x^118+1196x^120+5640x^123+876x^125+820x^128+40x^130+52x^135+32x^140+4x^145+8x^150

The gray image is a linear code over GF(5) with n=150, k=6 and d=108.
This code was found by Heurico 1.16 in 1.65 seconds.