The generator matrix

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

generates a code of length 43 over Z5[X]/(X^2) who´s minimum homogenous weight is 157.

Homogenous weight enumerator: w(x)=1x^0+280x^157+960x^158+480x^159+456x^160+1280x^161+860x^162+3900x^163+2620x^164+948x^165+2400x^166+2060x^167+7500x^168+3960x^169+1332x^170+3120x^171+2860x^172+10000x^173+6800x^174+1872x^175+3940x^176+3260x^177+8600x^178+3640x^179+900x^180+1760x^181+680x^182+1540x^183+60x^185+28x^190+8x^195+12x^200+4x^210+4x^215

The gray image is a linear code over GF(5) with n=215, k=7 and d=157.
This code was found by Heurico 1.16 in 7.05 seconds.