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

generates a code of length 42 over Z5[X]/(X^2) who´s minimum homogenous weight is 145.

Homogenous weight enumerator: w(x)=1x^0+56x^145+288x^150+448x^155+420x^160+2500x^164+336x^165+10000x^169+416x^170+368x^175+308x^180+280x^185+124x^190+68x^195+8x^200+4x^205

The gray image is a linear code over GF(5) with n=210, k=6 and d=145.
This code was found by Heurico 1.16 in 0.621 seconds.