The generator matrix

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

generates a code of length 74 over Z25 who´s minimum homogenous weight is 275.

Homogenous weight enumerator: w(x)=1x^0+676x^275+1100x^276+1680x^277+940x^278+2340x^279+4104x^280+5620x^281+5600x^282+3020x^283+4760x^284+10072x^285+11420x^286+10720x^287+7080x^288+8980x^289+15480x^290+19600x^291+14860x^292+9020x^293+13040x^294+23088x^295+26480x^296+19560x^297+11560x^298+13200x^299+24024x^300+25860x^301+18680x^302+9160x^303+10720x^304+16164x^305+14420x^306+9560x^307+3820x^308+3960x^309+4196x^310+3000x^311+1840x^312+400x^313+500x^314+272x^315+20x^320+16x^325+4x^330+4x^335+4x^345

The gray image is a code over GF(5) with n=370, k=8 and d=275.
This code was found by Heurico 1.16 in 290 seconds.