The generator matrix

 1  0  1  1  1  1  1  1  1  1  1
 0  1  1  7 24 18  0 16  7 14  0
 0  0 15  0  0  5  0 15 15 15  5
 0  0  0  5  0 15 10 10  5  5  5
 0  0  0  0 15 20 20  5 20  0 20

generates a code of length 11 over Z25 who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+184x^30+100x^32+400x^35+1500x^36+1200x^37+5520x^40+12000x^41+4800x^42+21020x^45+24000x^46+6400x^47+744x^50+256x^55

The gray image is a code over GF(5) with n=55, k=7 and d=30.
This code was found by Heurico 1.16 in 0.838 seconds.