The generator matrix

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

generates a code of length 40 over Z5[X]/(X^2) who´s minimum homogenous weight is 143.

Homogenous weight enumerator: w(x)=1x^0+940x^143+2180x^144+2084x^145+1760x^146+1720x^147+5140x^148+7480x^149+5508x^150+6220x^151+4860x^152+14760x^153+18360x^154+12640x^155+12480x^156+13000x^157+32680x^158+32640x^159+19292x^160+23640x^161+19040x^162+41100x^163+36820x^164+17468x^165+13600x^166+8880x^167+15380x^168+12520x^169+6060x^170+2300x^171+12x^175+16x^180+24x^185+8x^190+12x^195

The gray image is a linear code over GF(5) with n=200, k=8 and d=143.
This code was found by Heurico 1.16 in 130 seconds.