The generator matrix

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

generates a code of length 37 over Z5[X]/(X^2) who´s minimum homogenous weight is 141.

Homogenous weight enumerator: w(x)=1x^0+440x^141+400x^143+72x^145+760x^146+200x^148+24x^150+360x^151+400x^153+8x^155+440x^156+16x^160+4x^165

The gray image is a linear code over GF(5) with n=185, k=5 and d=141.
This code was found by Heurico 1.16 in 11.1 seconds.