The generator matrix

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

generates a code of length 71 over Z25 who´s minimum homogenous weight is 268.

Homogenous weight enumerator: w(x)=1x^0+880x^268+1600x^269+268x^270+900x^271+4460x^273+2760x^274+480x^275+2160x^276+7360x^278+4760x^279+736x^280+2640x^281+8460x^283+6200x^284+636x^285+3120x^286+8160x^288+5240x^289+472x^290+2700x^291+6280x^293+3480x^294+292x^295+980x^296+1900x^298+960x^299+184x^300+8x^305+24x^310+12x^315+4x^320+4x^325+4x^335

The gray image is a code over GF(5) with n=355, k=7 and d=268.
This code was found by Heurico 1.16 in 22.3 seconds.