The generator matrix

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

generates a code of length 23 over Z5[X]/(X^2) who´s minimum homogenous weight is 65.

Homogenous weight enumerator: w(x)=1x^0+96x^65+472x^70+836x^75+1448x^80+1888x^85+12500x^88+2800x^90+50000x^93+3268x^95+2608x^100+1492x^105+612x^110+104x^115

The gray image is a linear code over GF(5) with n=115, k=7 and d=65.
This code was found by Heurico 1.16 in 6 seconds.