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

generates a code of length 58 over Z25 who´s minimum homogenous weight is 210.

Homogenous weight enumerator: w(x)=1x^0+160x^210+408x^215+536x^220+1584x^225+5160x^230+6700x^235+296x^240+228x^245+228x^250+140x^255+100x^260+56x^265+16x^270+12x^275

The gray image is a code over GF(5) with n=290, k=6 and d=210.
This code was found by Heurico 1.16 in 0.94 seconds.