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

generates a code of length 40 over Z5[X]/(X^2) who´s minimum homogenous weight is 130.

Homogenous weight enumerator: w(x)=1x^0+100x^130+532x^135+940x^140+1296x^145+1624x^150+1912x^155+12500x^156+2132x^160+50000x^161+2272x^165+2252x^170+1400x^175+808x^180+256x^185+88x^190+12x^195

The gray image is a linear code over GF(5) with n=200, k=7 and d=130.
This code was found by Heurico 1.16 in 13.7 seconds.