The generator matrix

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

generates a code of length 41 over Z5[X]/(X^2) who´s minimum homogenous weight is 150.

Homogenous weight enumerator: w(x)=1x^0+804x^150+720x^151+840x^152+220x^153+180x^154+4324x^155+3960x^156+2560x^157+540x^158+460x^159+6572x^160+6900x^161+4080x^162+660x^163+1040x^164+9340x^165+9940x^166+4800x^167+680x^168+820x^169+7776x^170+5980x^171+2720x^172+400x^173+1716x^175+56x^180+28x^185+4x^195+4x^200

The gray image is a linear code over GF(5) with n=205, k=7 and d=150.
This code was found by Heurico 1.16 in 5.56 seconds.