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

generates a code of length 70 over Z25 who´s minimum homogenous weight is 275.

Homogenous weight enumerator: w(x)=1x^0+36x^275+560x^280+20x^285+4x^300+4x^350

The gray image is a code over GF(5) with n=350, k=4 and d=275.
This code was found by Heurico 1.16 in 0.047 seconds.