The generator matrix

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

generates a code of length 18 over Z5[X]/(X^2) who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+112x^60+180x^62+200x^64+888x^65+460x^67+1600x^69+3016x^70+1040x^72+3200x^74+3940x^75+820x^77+96x^80+44x^85+28x^90

The gray image is a linear code over GF(5) with n=90, k=6 and d=60.
This code was found by Heurico 1.16 in 0.0979 seconds.