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

generates a code of length 71 over Z25 who´s minimum homogenous weight is 275.

Homogenous weight enumerator: w(x)=1x^0+532x^275+676x^280+1164x^285+640x^290+32x^300+40x^305+16x^310+20x^325+4x^330

The gray image is a code over GF(5) with n=355, k=5 and d=275.
This code was found by Heurico 1.16 in 62 seconds.