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

generates a code of length 69 over Z25 who´s minimum homogenous weight is 266.

Homogenous weight enumerator: w(x)=1x^0+200x^266+400x^270+400x^271+112x^275+1100x^276+800x^281+80x^295+8x^300+20x^320+4x^325

The gray image is a code over GF(5) with n=345, k=5 and d=266.
This code was found by Heurico 1.16 in 62.4 seconds.