The generator matrix

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

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+52x^60+100x^64+168x^65+800x^69+136x^70+1600x^74+100x^75+96x^80+44x^85+28x^90

The gray image is a linear code over GF(5) with n=90, k=5 and d=60.
This code was found by Heurico 1.16 in 0.00989 seconds.