The generator matrix

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

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+104x^100+40x^101+20x^102+20x^104+528x^105+180x^106+520x^107+100x^108+320x^109+1752x^110+880x^111+1220x^112+1200x^113+1920x^114+5476x^115+3380x^116+3520x^117+4800x^118+5120x^119+10720x^120+4680x^121+4620x^122+6400x^123+5120x^124+8676x^125+3340x^126+2600x^127+452x^130+268x^135+124x^140+20x^145+4x^150

The gray image is a linear code over GF(5) with n=150, k=7 and d=100.
This code was found by Heurico 1.16 in 4.41 seconds.