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  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  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  0 15  7 22 18  8 15 22  8 21  6  9  4  5 17  8  6  9 17 10 21 19 23  4 15 16 17  3 10  1 22  3 24 12 10 16 15  6 22  1  0  7
 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 15 20  0  5  5  0  5 20 10 10 15  0  5  0 10 15  0 20 15 15 20 10  5 15 10  5  0 20  0  0 15  5 10 10  5 15 15  5  0 10 10 20

generates a code of length 69 over Z25 who´s minimum homogenous weight is 270.

Homogenous weight enumerator: w(x)=1x^0+380x^270+200x^271+560x^272+844x^275+100x^276+240x^277+196x^280+200x^281+40x^282+72x^285+160x^287+128x^290+4x^320

The gray image is a code over GF(5) with n=345, k=5 and d=270.
This code was found by Heurico 1.16 in 0.0605 seconds.