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

generates a code of length 87 over Z25 who´s minimum homogenous weight is 343.

Homogenous weight enumerator: w(x)=1x^0+220x^343+36x^345+160x^348+56x^350+20x^353+28x^355+100x^358+4x^385

The gray image is a code over GF(5) with n=435, k=4 and d=343.
This code was found by Heurico 1.16 in 0.234 seconds.