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

generates a code of length 39 over Z5[X]/(X^2) who´s minimum homogenous weight is 145.

Homogenous weight enumerator: w(x)=1x^0+140x^145+168x^150+500x^152+108x^155+2000x^157+52x^160+56x^165+40x^170+20x^175+16x^180+12x^185+8x^190+4x^195

The gray image is a linear code over GF(5) with n=195, k=5 and d=145.
This code was found by Heurico 1.16 in 0.0303 seconds.