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

generates a code of length 79 over Z25 who´s minimum homogenous weight is 304.

Homogenous weight enumerator: w(x)=1x^0+1280x^304+396x^305+2920x^309+704x^310+2380x^314+636x^315+2300x^319+908x^320+2720x^324+388x^325+860x^329+32x^330+40x^334+16x^335+8x^340+4x^345+8x^350+4x^355+12x^360+8x^365

The gray image is a code over GF(5) with n=395, k=6 and d=304.
This code was found by Heurico 1.16 in 81.8 seconds.