The generator matrix

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

generates a code of length 42 over Z5[X]/(X^2) who´s minimum homogenous weight is 154.

Homogenous weight enumerator: w(x)=1x^0+840x^154+752x^155+1560x^156+780x^157+200x^158+2660x^159+2692x^160+3940x^161+1380x^162+400x^163+5180x^164+5324x^165+6820x^166+1980x^167+1100x^168+6600x^169+7372x^170+8300x^171+2280x^172+800x^173+5920x^174+4380x^175+4380x^176+1080x^177+1300x^179+36x^180+16x^185+24x^190+16x^195+12x^200

The gray image is a linear code over GF(5) with n=210, k=7 and d=154.
This code was found by Heurico 1.16 in 8.75 seconds.