The generator matrix

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

generates a code of length 18 over Z5[X]/(X^2) who´s minimum homogenous weight is 55.

Homogenous weight enumerator: w(x)=1x^0+124x^55+120x^56+608x^60+320x^61+1000x^64+2812x^65+4320x^66+8000x^69+10160x^70+9920x^71+16000x^74+13524x^75+10320x^76+596x^80+252x^85+48x^90

The gray image is a linear code over GF(5) with n=90, k=7 and d=55.
This code was found by Heurico 1.16 in 2.15 seconds.