The generator matrix

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

generates a code of length 42 over Z5[X]/(X^2) who´s minimum homogenous weight is 155.

Homogenous weight enumerator: w(x)=1x^0+52x^155+272x^160+964x^165+1676x^170+64x^175+28x^180+8x^185+16x^190+24x^195+20x^200

The gray image is a linear code over GF(5) with n=210, k=5 and d=155.
This code was found by Heurico 1.16 in 0.0342 seconds.