The generator matrix

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

generates a code of length 22 over Z5[X]/(X^2) who´s minimum homogenous weight is 73.

Homogenous weight enumerator: w(x)=1x^0+520x^73+1440x^74+920x^75+220x^76+2080x^77+6640x^78+8600x^79+4944x^80+2640x^81+9360x^82+19960x^83+24560x^84+20192x^85+10560x^86+27040x^87+53080x^88+57320x^89+36644x^90+14080x^91+26520x^92+34800x^93+23080x^94+5304x^95+68x^100+40x^105+12x^110

The gray image is a linear code over GF(5) with n=110, k=8 and d=73.
This code was found by Heurico 1.16 in 59.7 seconds.