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

generates a code of length 71 over Z25 who´s minimum homogenous weight is 274.

Homogenous weight enumerator: w(x)=1x^0+1760x^274+708x^275+3880x^279+760x^280+2560x^284+540x^285+1940x^289+700x^290+1620x^294+360x^295+740x^299+36x^300+20x^305

The gray image is a code over GF(5) with n=355, k=6 and d=274.
This code was found by Heurico 1.16 in 1.91 seconds.