The generator matrix

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

generates a code of length 79 over Z25 who´s minimum homogenous weight is 300.

Homogenous weight enumerator: w(x)=1x^0+832x^300+1840x^301+1080x^302+240x^303+3456x^305+4240x^306+3080x^307+240x^308+4628x^310+6640x^311+3880x^312+700x^313+5444x^315+6700x^316+3580x^317+660x^318+5528x^320+6760x^321+2880x^322+420x^323+3864x^325+5080x^326+2100x^327+240x^328+1624x^330+1240x^331+900x^332+208x^335+16x^340+8x^345+8x^350+4x^360+4x^370

The gray image is a code over GF(5) with n=395, k=7 and d=300.
This code was found by Heurico 1.16 in 59.5 seconds.