The generator matrix

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

generates a code of length 77 over Z25 who´s minimum homogenous weight is 291.

Homogenous weight enumerator: w(x)=1x^0+560x^291+640x^292+320x^293+1160x^294+1300x^295+2740x^296+2320x^297+500x^298+2560x^299+2472x^300+3800x^301+3640x^302+1160x^303+2780x^304+3468x^305+4600x^306+4520x^307+1060x^308+3180x^309+3744x^310+4400x^311+4600x^312+1060x^313+2780x^314+3368x^315+4040x^316+3240x^317+640x^318+2020x^319+1192x^320+1960x^321+1040x^322+260x^323+520x^324+32x^325+400x^326+8x^330+16x^335+12x^340+8x^345+4x^355

The gray image is a code over GF(5) with n=385, k=7 and d=291.
This code was found by Heurico 1.16 in 12.6 seconds.