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  0  1  1  1  1  1  1  1  1  1 10
 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  1 13  5 12  2  1 22  8 10 21  1
 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 19  3  1 14  6  2 12  5  3 19  9 20
 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 15 10 15  0  0  0  0 15 20 10 20 15

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

Homogenous weight enumerator: w(x)=1x^0+1120x^300+1640x^301+1260x^302+160x^303+420x^304+3752x^305+3360x^306+2260x^307+520x^308+460x^309+5696x^310+5180x^311+3080x^312+420x^313+500x^314+6632x^315+6900x^316+3280x^317+620x^318+300x^319+6420x^320+5420x^321+2480x^322+620x^323+500x^324+5024x^325+3600x^326+2020x^327+160x^328+280x^329+1740x^330+1400x^331+620x^332+40x^334+204x^335+12x^340+4x^345+4x^350+12x^355+4x^360

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 13.9 seconds.