The generator matrix

 1  0  0  1  1  1  1  1 15  0  1 15  1  1  1  1  1  1  1  1  1  1  1  1
 0  1  0  1  7 24 15  1  1  1 15  1  8  2 16  6 11 12 19  3  7 22 12  5
 0  0  1 18  7  1 14 24 14 18 16 13 16  6 12  6 15  8 10 24  9 21  0  4
 0  0  0 15 20  0  5 20 15 20 15 10  5 15  5  0 20 10 10  0  5  5 20 20

generates a code of length 24 over Z25 who´s minimum homogenous weight is 83.

Homogenous weight enumerator: w(x)=1x^0+380x^83+160x^84+676x^85+1700x^86+700x^87+1800x^88+1920x^89+2688x^90+3900x^91+900x^92+2820x^93+7680x^94+7356x^95+9600x^96+2100x^97+4940x^98+10240x^99+7244x^100+7300x^101+1300x^102+2560x^103+80x^105+44x^110+32x^115+4x^120

The gray image is a code over GF(5) with n=120, k=7 and d=83.
This code was found by Heurico 1.16 in 12.4 seconds.