The generator matrix

 1  0  1  1  1  1  1  1  1  1  1  0  1  1  1  0  1  1  1  5  1  5  1  1  1  1  1  1  1  1  1  1  1  1  5  1 10  1  1  1 20  1  1  1  1  1  1 15  1  1 10  1  5  1  1 10  1  1 15  1  1  1  1  0  1  1  1  1  1  1  1
 0  1  1  7 14 18  0 16  7 14 18  1  0 14 18  1 16  7 23  1 23  1 16 12 21 12  5 19 15 16  9  4  6 10  1 23  1 12 14 11  1 12 22 17 19 19 24  1 17 21  1 22  1 14 22  1 23  8  1 12  0  5 10  1 11 18 13  5  1  3  0
 0  0 15  0 15 10  0 20 10 20  5 15 10  0 15 15 15  0 10  5  5  0 15  5  5 20 10  5 15 10 20 15 10  5 20  5  5  5 15 20  5 10  5 15  0 20  0 10  0  0  5 15 20 20 20  0 20  0 20 20  5 10  5 20 20 15  5  0 20  0  0
 0  0  0  5 15  5 10 15  0 10 15  5 10 15  5 15 20 10 15 20 10 20 10  5 15  0  5  5  5 20 20 20 10 20  0 20  0  0  0 20  5 15 20  0  0 15 20 15 20  0 10 10 15  0 20  5 10  5 20 15 15 20  0 10  5 15 15  0 15 20  5

generates a code of length 71 over Z25 who´s minimum homogenous weight is 270.

Homogenous weight enumerator: w(x)=1x^0+240x^270+220x^272+400x^273+2156x^275+580x^277+520x^278+1972x^280+580x^282+520x^283+2616x^285+380x^287+420x^288+2624x^290+580x^292+520x^293+920x^295+160x^297+120x^298+40x^300+20x^305+8x^315+16x^320+4x^325+4x^330+4x^340

The gray image is a code over GF(5) with n=355, k=6 and d=270.
This code was found by Heurico 1.16 in 0.564 seconds.