The generator matrix

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

generates a code of length 64 over Z25 who´s minimum homogenous weight is 244.

Homogenous weight enumerator: w(x)=1x^0+1020x^244+368x^245+2580x^249+712x^250+2580x^254+648x^255+3580x^259+960x^260+2180x^264+356x^265+560x^269+12x^270+20x^275+16x^280+4x^285+12x^290+8x^295+4x^305+4x^310

The gray image is a code over GF(5) with n=320, k=6 and d=244.
This code was found by Heurico 1.16 in 15.6 seconds.