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

generates a code of length 77 over Z25 who´s minimum homogenous weight is 298.

Homogenous weight enumerator: w(x)=1x^0+1720x^298+1000x^299+140x^300+2900x^303+1440x^304+156x^305+1860x^308+1100x^309+156x^310+1540x^313+720x^314+120x^315+1140x^318+500x^319+40x^320+840x^323+240x^324+4x^325+4x^330+4x^335

The gray image is a code over GF(5) with n=385, k=6 and d=298.
This code was found by Heurico 1.16 in 4.09 seconds.