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

generates a code of length 70 over Z25 who´s minimum homogenous weight is 270.

Homogenous weight enumerator: w(x)=1x^0+176x^270+100x^272+132x^275+800x^277+148x^280+1600x^282+68x^285+28x^290+20x^295+4x^300+12x^305+12x^310+8x^315+4x^320+8x^325+4x^340

The gray image is a code over GF(5) with n=350, k=5 and d=270.
This code was found by Heurico 1.16 in 3.15 seconds.