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

generates a code of length 42 over Z5[X]/(X^2) who´s minimum homogenous weight is 163.

Homogenous weight enumerator: w(x)=1x^0+200x^163+68x^165+100x^168+28x^170+200x^173+12x^175+8x^180+8x^185

The gray image is a linear code over GF(5) with n=210, k=4 and d=163.
This code was found by Heurico 1.16 in 0.00968 seconds.