The generator matrix

 1  0  0  1  1  1  1  1  1  1  1  1  1  1  5  1 15 10  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 20  1 20 15  1  1 20  1  1  1  1  1  5  1 10  1  1  1  1  1 20  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  1  0 15 10  5  1 22  8 16 11 21 14  7  1 12  1  1 18 11  9  3  4 17 13  0 24 17  9 12  7 23 22 16  1 20 10  1  5  4  1  6 20 13 23 21  1  6  1 19 18 22  3  8  5 20 21 24 17 15  1 13 15 17  8  0  7 16  0 22
 0  0  1 16  7 24  4 14 19 22  8  5 12 17 23 15  2  9 23  6 20 10 21 18 11  3  4 19 15 13  1 22  2  4 22  5  1 15  2  3  9 12 21 19 18  6 21 23  5 10 17 20  8 17  1  1 24 13 17  5 23 14  0  2 24  4 15 24  8 16

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

Homogenous weight enumerator: w(x)=1x^0+1200x^270+800x^271+740x^272+400x^273+200x^274+2248x^275+900x^276+560x^277+500x^278+120x^279+1484x^280+700x^281+440x^282+260x^283+80x^284+1168x^285+560x^286+480x^287+280x^288+80x^289+1060x^290+380x^291+280x^292+60x^293+20x^294+448x^295+160x^296+12x^300+4x^310

The gray image is a code over GF(5) with n=350, k=6 and d=270.
This code was found by Heurico 1.16 in 0.471 seconds.