The generator matrix

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

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+552x^65+1920x^66+600x^67+200x^68+1684x^70+2560x^71+800x^72+800x^73+2376x^75+3520x^76+600x^77+8x^85+4x^90

The gray image is a linear code over GF(5) with n=90, k=6 and d=65.
This code was found by Heurico 1.16 in 0.657 seconds.