The generator matrix

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

generates a code of length 21 over Z5[X]/(X^2) who´s minimum homogenous weight is 69.

Homogenous weight enumerator: w(x)=1x^0+500x^69+1008x^70+1060x^71+220x^72+2220x^73+6700x^74+5252x^75+6500x^76+3240x^77+10140x^78+19900x^79+18932x^80+27940x^81+12360x^82+29060x^83+45600x^84+45272x^85+53380x^86+16680x^87+28580x^88+34800x^89+15012x^90+6120x^91+104x^95+44x^100

The gray image is a linear code over GF(5) with n=105, k=8 and d=69.
This code was found by Heurico 1.16 in 55.9 seconds.