The generator matrix

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

generates a code of length 42 over Z5[X]/(X^2) who�s minimum homogenous weight is 158.

Homogenous weight enumerator: w(x)=1x^0+620x^158+180x^159+780x^160+520x^161+760x^162+1540x^163+220x^164+1436x^165+580x^166+840x^167+1400x^168+220x^169+1256x^170+480x^171+540x^172+1100x^173+380x^174+1136x^175+420x^176+360x^177+840x^178+8x^180+4x^185+4x^190

The gray image is a linear code over GF(5) with n=210, k=6 and d=158.
This code was found by Heurico 1.16 in 0.229 seconds.