The generator matrix

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

generates a code of length 18 over Z5[X]/(X^2) who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+1080x^58+920x^60+2920x^61+3500x^62+5720x^63+2300x^64+7816x^65+14040x^66+8500x^67+20360x^68+18400x^69+33212x^70+39160x^71+30000x^72+51800x^73+36800x^74+43516x^75+38880x^76+15500x^77+16040x^78+92x^80+52x^85+16x^90

The gray image is a linear code over GF(5) with n=90, k=8 and d=58.
This code was found by Heurico 1.16 in 53 seconds.