The generator matrix

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

generates a code of length 21 over Z5[X]/(X^2) who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+184x^60+636x^65+1024x^70+1660x^75+2852x^80+62500x^84+3436x^85+3044x^90+1936x^95+724x^100+128x^105

The gray image is a linear code over GF(5) with n=105, k=7 and d=60.
This code was found by Heurico 1.16 in 5.17 seconds.