The generator matrix

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

generates a code of length 18 over Z5[X]/(X^2) who´s minimum homogenous weight is 57.

Homogenous weight enumerator: w(x)=1x^0+440x^57+600x^58+372x^60+3280x^61+6100x^62+2860x^63+2600x^64+4300x^65+14760x^66+19060x^67+13820x^68+20800x^69+16424x^70+42640x^71+56820x^72+39380x^73+41600x^74+21848x^75+41820x^76+32580x^77+8340x^78+104x^80+52x^85+24x^90

The gray image is a linear code over GF(5) with n=90, k=8 and d=57.
This code was found by Heurico 1.16 in 44.8 seconds.