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

generates a code of length 37 over Z5[X]/(X^2) who´s minimum homogenous weight is 135.

Homogenous weight enumerator: w(x)=1x^0+56x^135+188x^140+124x^145+2500x^148+92x^150+44x^155+60x^160+12x^165+16x^170+12x^175+16x^180+4x^185

The gray image is a linear code over GF(5) with n=185, k=5 and d=135.
This code was found by Heurico 1.16 in 0.0278 seconds.