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

generates a code of length 37 over Z5[X]/(X^2) who´s minimum homogenous weight is 130.

Homogenous weight enumerator: w(x)=1x^0+296x^130+452x^135+424x^140+420x^145+12500x^148+352x^150+404x^155+344x^160+276x^165+120x^170+32x^175+4x^185

The gray image is a linear code over GF(5) with n=185, k=6 and d=130.
This code was found by Heurico 1.16 in 1.12 seconds.