The generator matrix

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

generates a code of length 24 over Z5[X]/(X^2) who´s minimum homogenous weight is 75.

Homogenous weight enumerator: w(x)=1x^0+80x^75+20x^76+292x^80+240x^81+100x^84+1776x^85+1040x^86+1200x^89+8020x^90+2240x^91+4800x^94+21024x^95+3840x^96+6400x^99+21004x^100+5120x^101+488x^105+344x^110+80x^115+16x^120

The gray image is a linear code over GF(5) with n=120, k=7 and d=75.
This code was found by Heurico 1.16 in 3.12 seconds.