The generator matrix

 1  0  1  1  1  1  1  1  1  1  1  5  1  1  1  1  1 10  1  1  1  1  1 20  1  1  1  1  1 15  1  1  1  1  1  0  1  1  1  1  1  5  1  1  1  1  1 10  1  1  1  1  1 20  1  1  1  1
 0  1 16  7 14 18  5 21 12 19 23  1 10 11 17  9  3  1 20  6  2  4 13  1 15  1 22 24  8  1  0 16  7 14 18  1  5 21 12 19 23  1 10 11 17  9  3  1 20  6  2  4 13  1 15  1 22 24

generates a code of length 58 over Z25 who´s minimum homogenous weight is 231.

Homogenous weight enumerator: w(x)=1x^0+160x^231+400x^232+40x^236+16x^240+8x^245

The gray image is a code over GF(5) with n=290, k=4 and d=231.
This code was found by Heurico 1.16 in 0.031 seconds.