The generator matrix

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

generates a code of length 41 over Z5[X]/(X^2) who´s minimum homogenous weight is 145.

Homogenous weight enumerator: w(x)=1x^0+452x^145+460x^146+300x^147+500x^148+2460x^149+3936x^150+4260x^151+2740x^152+2540x^153+7300x^154+10104x^155+11020x^156+7060x^157+8380x^158+17180x^159+23320x^160+26140x^161+14380x^162+17020x^163+27860x^164+34536x^165+36560x^166+17600x^167+18160x^168+26240x^169+25144x^170+20320x^171+7920x^172+3400x^173+6460x^174+5548x^175+1240x^176+36x^180+40x^185+4x^190+4x^195

The gray image is a linear code over GF(5) with n=205, k=8 and d=145.
This code was found by Heurico 1.16 in 134 seconds.