The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+1272x^275+1160x^280+216x^285+340x^290+120x^295+12x^300+4x^310

The gray image is a code over GF(5) with n=350, k=5 and d=275.
This code was found by Heurico 1.16 in 83.4 seconds.