The generator matrix

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

generates a code of length 18 over Z5[X]/(X^2) who´s minimum homogenous weight is 65.

Homogenous weight enumerator: w(x)=1x^0+380x^65+1124x^70+1608x^75+4x^80+4x^85+4x^90

The gray image is a linear code over GF(5) with n=90, k=5 and d=65.
This code was found by Heurico 1.16 in 0.00481 seconds.