The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  5  1  1  1  1  1  5  1  1  1  5  1  1  1  1  1
 0  5  0  0  0  0  0  5  5 20 10 15 20 15 15 15 10 10  0  0 10 10 15 15 10 10 10  0  0 10 15 20 15 15  0 10 15 20 20 10  5 20  0 20 20 20  0 20 10  0 15 10 15 15 10 10  0 10  5 15  0  5 20  0  5 15 15 15  5  5 20  5  5 15
 0  0  5  0  0  5  5 15 20 15  0  5 10 10 20  0 20  5  5  0  5 15  5 15 20  0 10 10 10  5 20 20  5 15 15 20 10 20  5  0  5  0  0  0  5  0 10  0 10 10 10 15 10 10 10 20  0 20  5  0  5  5 15  5  0  0 20 15  5 15  5  0  5 10
 0  0  0  5  0 15 10 15  5  5 20  5  0  5 10  5  5 10 15 10  5  0  5 20 15 10 20 10 15 10 10 20  0 10 15  0 10 15  5  5  0 20 20  0 15 20  5  5  5  5 10 20 20 15 10 10  5 20  5 15 10 15 10 10 20 10 15  0 20  0 20 10 15 15
 0  0  0  0  5 15  5 20 15  5 15 20 10  0  0  5  0 15 10  5  5 20  5 10  0 20  0 20  5 20  5 10 20 15 10 10 20 15 15 20 20 20 20  5  5  0 20  5  0 15 10 15 20  0  0 15 10  0 10 20  0  0 20 10  5  5 10  5  0  5 20 15 10 20

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

Homogenous weight enumerator: w(x)=1x^0+292x^275+456x^280+100x^284+464x^285+1200x^289+364x^290+4800x^294+308x^295+6400x^299+244x^300+236x^305+200x^310+136x^315+180x^320+88x^325+84x^330+36x^335+20x^340+12x^345+4x^355

The gray image is a code over GF(5) with n=370, k=6 and d=275.
This code was found by Heurico 1.16 in 14 seconds.