The generator matrix

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

generates a code of length 37 over Z5[X]/(X^2) who´s minimum homogenous weight is 139.

Homogenous weight enumerator: w(x)=1x^0+360x^139+1492x^140+640x^141+520x^142+1020x^144+2184x^145+1200x^146+420x^147+1080x^149+1800x^150+480x^151+300x^152+1040x^154+2148x^155+680x^156+260x^157

The gray image is a linear code over GF(5) with n=185, k=6 and d=139.
This code was found by Heurico 1.16 in 0.203 seconds.