The generator matrix

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

generates a code of length 20 over Z5[X]/(X^2) who´s minimum homogenous weight is 65.

Homogenous weight enumerator: w(x)=1x^0+556x^65+1340x^66+300x^67+220x^68+2240x^69+6292x^70+6560x^71+3640x^72+3240x^73+10480x^74+20188x^75+18280x^76+22780x^77+13860x^78+30320x^79+64376x^80+40400x^81+43820x^82+17680x^83+29460x^84+34056x^85+18420x^86+1960x^87+100x^90+24x^95+32x^100

The gray image is a linear code over GF(5) with n=100, k=8 and d=65.
This code was found by Heurico 1.16 in 52.4 seconds.