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  7 24 18  0 16  7 14 18  1 14  1  0  1  7 14 12 16 16 18  0  0
 0  0 15  0  0  5  0 15 15 15 10 20 15 10 20 20  0 10  5  0 15  0  5  0
 0  0  0  5  0 15 10 10  5  5  0 20 20 15  0  5 15  5 10 10 15  5  5  0
 0  0  0  0 15 20 20  5 20  0 10  5 20 20  0 10 10  0 20  0 10 15  5  0

generates a code of length 24 over Z25 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 code over GF(5) with n=120, k=7 and d=75.
This code was found by Heurico 1.16 in 3.1 seconds.