The generator matrix

 1  0  0  1  1  1  1  1  1  1  1  1  1  1  5  1 15 10  1  1  1  1  1  1  1  1  1  1  1  1 20  1  1  1  1  1  1  1  5 10 20  1  1  1  1  1  1  1  1  1 20  0  1  1  1  1  1 15  1  1  1  1  0  5  1  1  1  1  0  1 10  1  1  1 10  1  1  1  1  1  1 20  1  1  1  1  1  1  1 10  1 15  1  1 15  1  1
 0  1  0 15 10  5  1 22  8 16 11 21 14  7  1 12  1  1 18 11  9  3  4 17 13  0 24 17 12  8  1  6  3 10 21  1 19 24  1  0  1 22 17 20  8  9  7 24  4 20  1  1 13  5 10 17  4  1 15  7  8  3  1  1 19  7 15  3 15 24  1 11 23  1  1 18 16 20 18  5  2  1  2 13  4 18  0 16 20  1  8  1 11 15  1 18  5
 0  0  1 16  7 24  4 14 19 22  8  5 12 17 23 15  2  9 23  6 20 10 21 18 11  3  4 19 16  2 16 17  1 12 21  8  3  0 10  1  6  2 23  3 22  7 15 24 13  9 24 13 20 10 11  9  6 23 21  1 14 11  6 17 21  5 15  8  1 16  7 14  8 11 19  9 23 10  4 21 14  4 12 19  5  3  9  9 13 13 16 16  4  2 17  7 16

generates a code of length 97 over Z25 who´s minimum homogenous weight is 378.

Homogenous weight enumerator: w(x)=1x^0+1940x^378+1280x^379+200x^380+2880x^383+1280x^384+144x^385+1920x^388+960x^389+120x^390+1140x^393+640x^394+40x^395+980x^398+380x^399+44x^400+900x^403+400x^404+60x^405+240x^408+60x^409+16x^410

The gray image is a code over GF(5) with n=485, k=6 and d=378.
This code was found by Heurico 1.16 in 79.9 seconds.