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 10 10  1  1  1  1  1 15  1  1  1  1  1  0  1 15  1  1  1  1  1  1  1  1  1  5  1  1  1  1  1  1  1  1  1  1  5  1  1  1 10  1  1  1  1  0  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  1  1  5 17  8  6  9  1 17 10 21 19 23  1  4  1 15 16 17  3 10  1 22  3 24  1 20  6  2  3  2 11 11  1 11 14  1 10 15 14  1 18 16 11 24  1 12 23 16
 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  0 10 15  0 20 15 15 15 20 10  5  5 15 20 10  5  0 20  0  0 15  5 10  0 20 10  5 15 10 20 15  5 10 20 10  5 15  0 15 10 20  0 15 20  0 20 15

generates a code of length 89 over Z25 who´s minimum homogenous weight is 350.

Homogenous weight enumerator: w(x)=1x^0+720x^350+1620x^355+420x^360+120x^365+220x^370+24x^375

The gray image is a code over GF(5) with n=445, k=5 and d=350.
This code was found by Heurico 1.16 in 0.131 seconds.