The generator matrix

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

generates a code of length 32 over Z5[X]/(X^2) who´s minimum homogenous weight is 100.

Homogenous weight enumerator: w(x)=1x^0+196x^100+524x^105+1016x^110+1404x^115+4248x^120+22208x^125+42664x^130+2308x^135+1996x^140+1092x^145+380x^150+72x^155+16x^160

The gray image is a linear code over GF(5) with n=160, k=7 and d=100.
This code was found by Heurico 1.16 in 9.99 seconds.