The generator matrix

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

generates a code of length 68 over Z25 who´s minimum homogenous weight is 266.

Homogenous weight enumerator: w(x)=1x^0+240x^266+880x^267+72x^270+520x^271+560x^272+32x^275+120x^276+240x^277+4x^280+40x^281+320x^282+80x^286+16x^290

The gray image is a code over GF(5) with n=340, k=5 and d=266.
This code was found by Heurico 1.16 in 21.8 seconds.