The generator matrix
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X
0 X 0 0 X X 0 X 2X 4X 3X 4X 4X 3X 0 X 4X X 3X 4X X
0 0 X 0 3X 2X X 4X 0 X X X 0 X 2X 0 4X 3X 4X 3X X
0 0 0 X 3X X 4X 3X 3X 3X 0 X 3X 4X X X 4X 2X 0 4X 4X
generates a code of length 21 over Z5[X]/(X^2) who´s minimum homogenous weight is 75.
Homogenous weight enumerator: w(x)=1x^0+152x^75+680x^80+2124x^85+64x^90+24x^95+56x^100+24x^105
The gray image is a linear code over GF(5) with n=105, k=5 and d=75.
This code was found by Heurico 1.16 in 0.447 seconds.