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

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+552x^150+740x^151+1020x^152+980x^153+160x^154+3268x^155+3520x^156+2940x^157+2020x^158+520x^159+5068x^160+6000x^161+4660x^162+2460x^163+980x^164+7140x^165+9480x^166+5780x^167+3100x^168+840x^169+5692x^170+5260x^171+3100x^172+1440x^173+1324x^175+28x^180+28x^185+16x^190+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 5.9 seconds.