The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  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  5  5  1  1  1  1
 0  5  0  0  0  0  0  5  5 20 10 15 20 15 15 15 10 10  0  0 10 10 15 15 10 10 10  0  0 10 15 20 15  0 15 10 15 20 20 10  5 20  0 20 20 20  0 20 10  5 20 15 20  5  5  0 10 15  0  0  5 20  5  5  5  5  5  5
 0  0  5  0  0  5  5 15 20 15  0  5 10 10 20  0 20  5  5  0  5 15  5 15 20  0 10 10 10  5 20 20  5 15 15 20 10 20  5  0  5  0  0  0  5  0 10  0 10  5  0 10 10  5 15 20 10 10 15  0 20 10 20 10 10 10 15 15
 0  0  0  5  0 15 10 15  5  5 20  5  0  5 10  5  5 10 15 10  5  0  5 20 15 10 20 10 15 10 10 20  0 15 10  0 10 15  5  5  0 20 20  0 15 20  5  5  5 15 15 20 20  5 20  5 15 15 15  5  0 10 15 20 10 20  5 20
 0  0  0  0  5 15  5 20 15  5 15 20 10  0  0  5  0 15 10  5  5 20  5 10  0 20  0 20  5 20  5 10 20 10 15 10 20 15 15 20 20 20 20  5  5  0 20  5  0 10  0 20  0 10 20  0  5 10 20 10  0  0 10 10  5 10  5  5

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

Homogenous weight enumerator: w(x)=1x^0+188x^250+432x^255+564x^260+1580x^265+5116x^270+6692x^275+248x^280+224x^285+220x^290+120x^295+80x^300+80x^305+52x^310+20x^315+4x^320+4x^325

The gray image is a code over GF(5) with n=340, k=6 and d=250.
This code was found by Heurico 1.16 in 1.15 seconds.