The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+180x^30+420x^35+2980x^40+11060x^45+724x^50+260x^55

The gray image is a code over GF(5) with n=55, k=6 and d=30.
This code was found by Heurico 1.16 in 0.0751 seconds.