The generator matrix

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

generates a code of length 68 over Z25 who´s minimum homogenous weight is 250.

Homogenous weight enumerator: w(x)=1x^0+316x^250+60x^253+280x^254+660x^255+220x^256+1580x^258+1960x^259+1400x^260+960x^261+2740x^263+3160x^264+2404x^265+2160x^266+4640x^268+5260x^269+2916x^270+3560x^271+7940x^273+7460x^274+3948x^275+3960x^276+5980x^278+5180x^279+2552x^280+1640x^281+2060x^283+1700x^284+900x^285+148x^290+116x^295+136x^300+68x^305+20x^310+28x^315+8x^320+4x^325

The gray image is a code over GF(5) with n=340, k=7 and d=250.
This code was found by Heurico 1.16 in 12.3 seconds.