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  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 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 21  6  9  4  5 17  8  6  9 17 10 21 19 23  4 15 16 17  3 10  1 22  3 24 12 10 16 15  6 22  1  0  7  5
 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 10 15  0  5  0 10 15  0 20 15 15 20 10  5 15 10  5  0 20  0  0 15  5 10 10  5 15 15  5  0 10 10 20 20

generates a code of length 70 over Z25 who´s minimum homogenous weight is 274.

Homogenous weight enumerator: w(x)=1x^0+240x^274+432x^275+560x^276+520x^279+336x^280+240x^281+120x^284+280x^285+40x^286+40x^289+44x^290+160x^291+80x^294+28x^295+4x^325

The gray image is a code over GF(5) with n=350, k=5 and d=274.
This code was found by Heurico 1.16 in 1.77 seconds.