The generator matrix

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

generates a code of length 21 over Z5[X]/(X^2) who´s minimum homogenous weight is 65.

Homogenous weight enumerator: w(x)=1x^0+76x^65+316x^70+452x^75+2972x^80+10580x^85+624x^90+424x^95+172x^100+8x^105

The gray image is a linear code over GF(5) with n=105, k=6 and d=65.
This code was found by Heurico 1.16 in 0.245 seconds.