The generator matrix

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

generates a code of length 76 over Z25 who´s minimum homogenous weight is 290.

Homogenous weight enumerator: w(x)=1x^0+192x^290+320x^291+860x^294+1160x^295+1120x^296+880x^299+1336x^300+1060x^301+1200x^304+956x^305+900x^306+1520x^309+1196x^310+1040x^311+540x^314+568x^315+460x^316+156x^320+100x^321+16x^325+20x^330+4x^335+4x^345+12x^350+4x^355

The gray image is a code over GF(5) with n=380, k=6 and d=290.
This code was found by Heurico 1.16 in 0.614 seconds.