The generator matrix

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

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+304x^75+80x^76+460x^77+820x^78+1100x^79+1084x^80+640x^81+1480x^82+1160x^83+800x^84+668x^85+1280x^86+2060x^87+1520x^88+1100x^89+1052x^90+16x^95

The gray image is a linear code over GF(5) with n=105, k=6 and d=75.
This code was found by Heurico 1.16 in 0.101 seconds.