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  1  5  1  1  1  1 10
 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 17  6 21  9  1 21  7 22 23  1
 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 11 19  8 13 20 19 12 16 12 17
 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  5  0  0 20 15 20  5 15  0  0

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

Homogenous weight enumerator: w(x)=1x^0+500x^268+1580x^269+820x^270+620x^271+600x^272+2420x^273+4220x^274+1700x^275+1080x^276+1600x^277+3940x^278+6540x^279+2008x^280+1740x^281+1600x^282+4240x^283+7680x^284+2372x^285+1900x^286+2000x^287+4640x^288+6520x^289+2072x^290+1560x^291+1300x^292+3140x^293+4680x^294+1380x^295+600x^296+400x^297+1120x^298+1280x^299+212x^300+20x^305+12x^310+16x^315+8x^320+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 24.3 seconds.